LCM for 3 and 45
What's the Least Common Multiple (LCM) of 3 and 45?
(Forty-five)
Finding LCM for 3 and 45 using GCF's of these numbers
The first method to find LCM for numbers 3 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 45 is 3, so
LCM = (3 × 45) ÷ 3
LCM = 135 ÷ 3
LCM = 45
Finding LCM for 3 and 45 by Listing Multiples
The second method to find LCM for numbers 3 and 45 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, [...], 45
So the LCM for 3 and 45 is 45
Finding LCM for 3 and 45 by Prime Factorization
Another method to find LCM for numbers 3 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
32 × 51 = 45
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