LCM for 6 and 45
What's the Least Common Multiple (LCM) of 6 and 45?
(Ninety)
Finding LCM for 6 and 45 using GCF's of these numbers
The first method to find LCM for numbers 6 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 45 is 3, so
LCM = (6 × 45) ÷ 3
LCM = 270 ÷ 3
LCM = 90
Finding LCM for 6 and 45 by Listing Multiples
The second method to find LCM for numbers 6 and 45 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 45: 45, 90, 135, 180
So the LCM for 6 and 45 is 90
Finding LCM for 6 and 45 by Prime Factorization
Another method to find LCM for numbers 6 and 45 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 45: 3, 3, 5 (exponent form: 32, 51)
21 × 32 × 51 = 90
Related Calculations
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