LCM for 45 and 95

What's the Least Common Multiple (LCM) of 45 and 95?

Answer: LCM of 45 and 95 is 855

(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

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 45 and 95? (The answer is: 855). Select the first number (e.g. '45') and the second number (e.g. '95'). After that hit the 'Calculate' button.
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

LCM Table

Number 1Number 2LCM
3095570
31952945
32953040
33953135
34953230
3595665
36953420
37953515
3895190
39953705
4095760
41953895
42953990
43954085
44954180
4595
46954370
47954465
48954560
49954655
5095950
51954845
52954940
53955035
54955130
55951045
56955320
5795285
58955510
59955605

FAQ

What's the Least Common Multiple (LCM) of 45 and 95?

LCM of 45 and 95 is 855