LCM for 37 and 67

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What's the Least Common Multiple (LCM) of 37 and 67?

Answer

LCM of 37 and 67 is
2,479

(Two thousand four hundred seventy-nine)

Finding LCM for 37 and 67 using GCF of these numbers

The first method to find LCM for numbers 37 and 67 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 37 and 67 is 1, so

LCM = (37 × 67) ÷ 1

LCM = 2,479 ÷ 1

LCM = 2,479

Finding LCM for 37 and 67 by Listing Multiples

The second method to find LCM for numbers 37 and 67 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1,036, 1,073, 1,110, 1,147, 1,184, 1,221, 1,258, 1,295, 1,332, 1,369, 1,406, 1,443, 1,480, 1,517, 1,554, 1,591, 1,628, 1,665, 1,702, 1,739, 1,776, 1,813, 1,850, 1,887, 1,924, 1,961, 1,998, 2,035, 2,072, 2,109, 2,146, 2,183, 2,220, 2,257, 2,294, 2,331, 2,368, 2,405, 2,442, 2,479, 2,516, 2,553

Multiples of 67: 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1,005, 1,072, 1,139, 1,206, 1,273, 1,340, 1,407, 1,474, 1,541, 1,608, 1,675, 1,742, 1,809, 1,876, 1,943, 2,010, 2,077, 2,144, 2,211, 2,278, 2,345, 2,412, 2,479, 2,546, 2,613

So the LCM for 37 and 67 is 2,479

Finding LCM for 37 and 67 by Prime Factorization

Another method to find LCM for numbers 37 and 67 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 37: 37 (exponent form: 371)

All Prime Factors of 67: 67 (exponent form: 671)

371 × 671 = 2,479

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 37 and 67? (The answer is: 2,479). Select the first number (e.g. '37') and the second number (e.g. '67'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
37521,924
37531,961
37541,998
37552,035
37562,072
37572,109
37582,146
37592,183
37602,220
37612,257
37622,294
37632,331
37642,368
37652,405
37662,442
37672,479
37682,516
37692,553
37702,590
37712,627
37722,664
37732,701
377474
37752,775
37762,812
37772,849
37782,886
37792,923
37802,960
37812,997

FAQ

What's the Least Common Multiple (LCM) of 37 and 67?

LCM of 37 and 67 is 2,479

How to find the LCM of 37 and 67 using prime factorization?

To find the LCM of 37 and 67, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,479.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 37 and 67: LCM = 2,479, GCF = 1.

See Also