LCM for 150 and 210

What's the Least Common Multiple (LCM) of 150 and 210?

Answer: LCM of 150 and 210 is 1,050

(One thousand, fifty)

Finding LCM for 150 and 210 using GCF's of these numbers

The first method to find LCM for numbers 150 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 210 is 30, so

LCM = (150 × 210) ÷ 30

LCM = 31500 ÷ 30

LCM = 1050

Finding LCM for 150 and 210 by Listing Multiples

The second method to find LCM for numbers 150 and 210 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 150: 150, 300, 450, 600, 750, 900, 1050, 1200, 1350

Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470

So the LCM for 150 and 210 is 1050

Finding LCM for 150 and 210 by Prime Factorization

Another method to find LCM for numbers 150 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

21 × 31 × 52 × 71 = 1050

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 150 and 210? (The answer is: 1050). Select the first number (e.g. '150') and the second number (e.g. '210'). 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
1352101890
13621014280
13721028770
1382104830
13921029190
140210420
1412109870
14221014910
14321030030
1442105040
1452106090
14621015330
1472101470
14821015540
14921031290
150210
15121031710
15221015960
15321010710
1542102310
1552106510
1562105460
15721032970
15821016590
15921011130
1602103360
1612104830
1622105670
16321034230
16421017220

FAQ

What's the Least Common Multiple (LCM) of 150 and 210?

LCM of 150 and 210 is 1,050