LCM for 6 and 90
What's the Least Common Multiple (LCM) of 6 and 90?
(Ninety)
Finding LCM for 6 and 90 using GCF's of these numbers
The first method to find LCM for numbers 6 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 90 is 6, so
LCM = (6 × 90) ÷ 6
LCM = 540 ÷ 6
LCM = 90
Finding LCM for 6 and 90 by Listing Multiples
The second method to find LCM for numbers 6 and 90 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102
Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, [...], 90
So the LCM for 6 and 90 is 90
Finding LCM for 6 and 90 by Prime Factorization
Another method to find LCM for numbers 6 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)
21 × 32 × 51 = 90
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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