LCM for 15 and 22

What's the Least Common Multiple (LCM) of 15 and 22?

Answer: LCM of 15 and 22 is 330

(Three hundred thirty)

Finding LCM for 15 and 22 using GCF's of these numbers

The first method to find LCM for numbers 15 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 22 is 1, so

LCM = (15 × 22) ÷ 1

LCM = 330 ÷ 1

LCM = 330

Finding LCM for 15 and 22 by Listing Multiples

The second method to find LCM for numbers 15 and 22 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

Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374

So the LCM for 15 and 22 is 330

Finding LCM for 15 and 22 by Prime Factorization

Another method to find LCM for numbers 15 and 22 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 22: 2, 11 (exponent form: 21, 111)

31 × 51 × 21 × 111 = 330

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 15 and 22? (The answer is: 330). Select the first number (e.g. '15') and the second number (e.g. '22'). 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
12222
222
32266
42244
522110
622
722154
82288
922198
1022110
1122
1222
1322286
1422
1522
1622
1722374
1822
1922418
2022220
2122462
222222
2322506
2422264
2522550
2622286
2722594
2822308
2922638
3022330

FAQ

What's the Least Common Multiple (LCM) of 15 and 22?

LCM of 15 and 22 is 330