LCM for 15 and 147

What's the Least Common Multiple (LCM) of 15 and 147?

Answer: LCM of 15 and 147 is 735

(Seven hundred thirty-five)

Finding LCM for 15 and 147 using GCF's of these numbers

The first method to find LCM for numbers 15 and 147 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 147 is 3, so

LCM = (15 × 147) ÷ 3

LCM = 2205 ÷ 3

LCM = 735

Finding LCM for 15 and 147 by Listing Multiples

The second method to find LCM for numbers 15 and 147 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765

Multiples of 147: 147, 294, 441, 588, 735, 882, 1029

So the LCM for 15 and 147 is 735

Finding LCM for 15 and 147 by Prime Factorization

Another method to find LCM for numbers 15 and 147 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

All Prime Factors of 147: 3, 7, 7 (exponent form: 31, 72)

31 × 51 × 72 = 735

LCM Table

Number 1Number 2LCM
1147147
2147294
3147147
4147588
5147735
6147294
7147147
81471176
9147441
101471470
111471617
12147588
131471911
14147294
15147735
161472352
171472499
18147882
191472793
201472940
21147147
221473234
231473381
241471176
251473675
261473822
271471323
28147588
291474263
301471470

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 15 and 147? (The answer is: 735). Select the first number (e.g. '15') and the second number (e.g. '147'). 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

FAQ

What's the Least Common Multiple (LCM) of 15 and 147?

LCM of 15 and 147 is 735