LCM for 76 and 104

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 76 and 104?

Answer

LCM of 76 and 104 is
1,976

(One thousand nine hundred seventy-six)

Finding LCM for 76 and 104 using GCF of these numbers

The first method to find LCM for numbers 76 and 104 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 76 and 104 is 4, so

LCM = (76 × 104) ÷ 4

LCM = 7,904 ÷ 4

LCM = 1,976

Finding LCM for 76 and 104 by Listing Multiples

The second method to find LCM for numbers 76 and 104 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 76: 76, 152, 228, 304, 380, 456, 532, 608, 684, 760, 836, 912, 988, 1,064, 1,140, 1,216, 1,292, 1,368, 1,444, 1,520, 1,596, 1,672, 1,748, 1,824, 1,900, 1,976, 2,052, 2,128

Multiples of 104: 104, 208, 312, 416, 520, 624, 728, 832, 936, 1,040, 1,144, 1,248, 1,352, 1,456, 1,560, 1,664, 1,768, 1,872, 1,976, 2,080, 2,184

So the LCM for 76 and 104 is 1,976

Finding LCM for 76 and 104 by Prime Factorization

Another method to find LCM for numbers 76 and 104 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 76: 2, 2, 19 (exponent form: 22, 191)

All Prime Factors of 104: 2, 2, 2, 13 (exponent form: 23, 131)

23 × 191 × 131 = 1,976

Related Calculations

See Also

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 76 and 104? (The answer is: 1,976). Select the first number (e.g. '76') and the second number (e.g. '104'). 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
and

LCM Table

Number 1Number 2LCM
76896,764
76903,420
76916,916
76921,748
76937,068
76943,572
7695380
76961,824
76977,372
76983,724
76997,524
761001,900
761017,676
761023,876
761037,828
761041,976
761057,980
761064,028
761078,132
761082,052
761098,284
761104,180
761118,436
761122,128
761138,588
76114228
761158,740
761162,204
761178,892
761184,484

FAQ

What's the Least Common Multiple (LCM) of 76 and 104?

LCM of 76 and 104 is 1,976

How to find the LCM of 76 and 104 using prime factorization?

To find the LCM of 76 and 104, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,976.

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 76 and 104: LCM = 1,976, GCF = 4.

See Also