LCM for 12 and 78

What's the Least Common Multiple (LCM) of 12 and 78?

Answer: LCM of 12 and 78 is 156

(One hundred fifty-six)

Finding LCM for 12 and 78 using GCF's of these numbers

The first method to find LCM for numbers 12 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 78 is 6, so

LCM = (12 × 78) ÷ 6

LCM = 936 ÷ 6

LCM = 156

Finding LCM for 12 and 78 by Listing Multiples

The second method to find LCM for numbers 12 and 78 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180

Multiples of 78: 78, 156, 234, 312

So the LCM for 12 and 78 is 156

Finding LCM for 12 and 78 by Prime Factorization

Another method to find LCM for numbers 12 and 78 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

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

22 × 31 × 131 = 156

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 12 and 78? (The answer is: 156). Select the first number (e.g. '12') and the second number (e.g. '78'). 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

LCM Table

Number 1Number 2LCM
17878
27878
37878
478156
578390
67878
778546
878312
978
1078390
1178858
1278
137878
1478546
1578390
1678624
17781326
1878234
19781482
2078780
2178546
2278858
23781794
2478312
25781950
2678
2778702
28781092
29782262
3078390

FAQ

What's the Least Common Multiple (LCM) of 12 and 78?

LCM of 12 and 78 is 156