LCM for 9 and 30
What's the Least Common Multiple (LCM) of 9 and 30?
(Ninety)
Finding LCM for 9 and 30 using GCF's of these numbers
The first method to find LCM for numbers 9 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 30 is 3, so
LCM = (9 × 30) ÷ 3
LCM = 270 ÷ 3
LCM = 90
Finding LCM for 9 and 30 by Listing Multiples
The second method to find LCM for numbers 9 and 30 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
Multiples of 30: 30, 60, 90, 120, 150
So the LCM for 9 and 30 is 90
Finding LCM for 9 and 30 by Prime Factorization
Another method to find LCM for numbers 9 and 30 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 30: 2, 3, 5 (exponent form: 21, 31, 51)
32 × 21 × 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