LCM for 7 and 22
What's the Least Common Multiple (LCM) of 7 and 22?
(One hundred fifty-four)
Finding LCM for 7 and 22 using GCF's of these numbers
The first method to find LCM for numbers 7 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 22 is 1, so
LCM = (7 × 22) ÷ 1
LCM = 154 ÷ 1
LCM = 154
Finding LCM for 7 and 22 by Listing Multiples
The second method to find LCM for numbers 7 and 22 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168
Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198
So the LCM for 7 and 22 is 154
Finding LCM for 7 and 22 by Prime Factorization
Another method to find LCM for numbers 7 and 22 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 22: 2, 11 (exponent form: 21, 111)
71 × 21 × 111 = 154
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