LCM for 9 and 20
What's the Least Common Multiple (LCM) of 9 and 20?
(One hundred eighty)
Finding LCM for 9 and 20 using GCF's of these numbers
The first method to find LCM for numbers 9 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 20 is 1, so
LCM = (9 × 20) ÷ 1
LCM = 180 ÷ 1
LCM = 180
Finding LCM for 9 and 20 by Listing Multiples
The second method to find LCM for numbers 9 and 20 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
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220
So the LCM for 9 and 20 is 180
Finding LCM for 9 and 20 by Prime Factorization
Another method to find LCM for numbers 9 and 20 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 20: 2, 2, 5 (exponent form: 22, 51)
32 × 22 × 51 = 180
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