LCM for 9 and 78
What's the Least Common Multiple (LCM) of 9 and 78?
(Two hundred thirty-four)
Finding LCM for 9 and 78 using GCF's of these numbers
The first method to find LCM for numbers 9 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 78 is 3, so
LCM = (9 × 78) ÷ 3
LCM = 702 ÷ 3
LCM = 234
Finding LCM for 9 and 78 by Listing Multiples
The second method to find LCM for numbers 9 and 78 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252
Multiples of 78: 78, 156, 234, 312, 390
So the LCM for 9 and 78 is 234
Finding LCM for 9 and 78 by Prime Factorization
Another method to find LCM for numbers 9 and 78 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 78: 2, 3, 13 (exponent form: 21, 31, 131)
32 × 21 × 131 = 234
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/9--78">What is the LCM of 9 and 78? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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