LCM for 78 and 104

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What's the Least Common Multiple (LCM) of 78 and 104?

Answer

LCM of 78 and 104 is
312

(Three hundred twelve)

Finding LCM for 78 and 104 using GCF of these numbers

The first method to find LCM for numbers 78 and 104 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 78 and 104 is 26, so

LCM = (78 × 104) ÷ 26

LCM = 8,112 ÷ 26

LCM = 312

Finding LCM for 78 and 104 by Listing Multiples

The second method to find LCM for numbers 78 and 104 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 78: 78, 156, 234, 312, 390, 468

Multiples of 104: 104, 208, 312, 416, 520

So the LCM for 78 and 104 is 312

Finding LCM for 78 and 104 by Prime Factorization

Another method to find LCM for numbers 78 and 104 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)

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

23 × 31 × 131 = 312

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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 78 and 104? (The answer is: 312). Select the first number (e.g. '78') 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
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LCM Table

Number 1Number 2LCM
78896,942
78901,170
7891546
78923,588
78932,418
78943,666
78957,410
78961,248
78977,566
78983,822
78992,574
781003,900
781017,878
781021,326
781038,034
78104312
781052,730
781064,134
781078,346
781081,404
781098,502
781104,290
781112,886
781124,368
781138,814
781141,482
781158,970
781164,524
78117234
781184,602

FAQ

What's the Least Common Multiple (LCM) of 78 and 104?

LCM of 78 and 104 is 312

How to find the LCM of 78 and 104 using prime factorization?

To find the LCM of 78 and 104, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 312.

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 78 and 104: LCM = 312, GCF = 26.

See Also