LCM for 78 and 90
What's the Least Common Multiple (LCM) of 78 and 90?
(One thousand, one hundred seventy)
Finding LCM for 78 and 90 using GCF's of these numbers
The first method to find LCM for numbers 78 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 78 and 90 is 6, so
LCM = (78 × 90) ÷ 6
LCM = 7020 ÷ 6
LCM = 1170
Finding LCM for 78 and 90 by Listing Multiples
The second method to find LCM for numbers 78 and 90 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 78: 78, 156, 234, 312, 390, 468, 546, 624, 702, 780, 858, 936, 1014, 1092, 1170, 1248, 1326
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350
So the LCM for 78 and 90 is 1170
Finding LCM for 78 and 90 by Prime Factorization
Another method to find LCM for numbers 78 and 90 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 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
21 × 32 × 131 × 51 = 1170
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/78--90">What is the LCM of 78 and 90? - 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