LCM for 45 and 95
What's the Least Common Multiple (LCM) of 45 and 95?
(Eight hundred fifty-five)
Finding LCM for 45 and 95 using GCF's of these numbers
The first method to find LCM for numbers 45 and 95 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 45 and 95 is 5, so
LCM = (45 × 95) ÷ 5
LCM = 4275 ÷ 5
LCM = 855
Finding LCM for 45 and 95 by Listing Multiples
The second method to find LCM for numbers 45 and 95 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945
Multiples of 95: 95, 190, 285, 380, 475, 570, 665, 760, 855, 950, 1045
So the LCM for 45 and 95 is 855
Finding LCM for 45 and 95 by Prime Factorization
Another method to find LCM for numbers 45 and 95 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)
All Prime Factors of 95: 5, 19 (exponent form: 51, 191)
32 × 51 × 191 = 855
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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