LCM for 150 and 180

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 150 and 180?

Answer: LCM of 150 and 180 is 900

(Nine hundred)

Finding LCM for 150 and 180 using GCF's of these numbers

The first method to find LCM for numbers 150 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 150 and 180 is 30, so

LCM = (150 × 180) ÷ 30

LCM = 27000 ÷ 30

LCM = 900

Finding LCM for 150 and 180 by Listing Multiples

The second method to find LCM for numbers 150 and 180 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

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

So the LCM for 150 and 180 is 900

Finding LCM for 150 and 180 by Prime Factorization

Another method to find LCM for numbers 150 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

22 × 32 × 52 = 900

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LCM Table

Number 1Number 2LCM
135180540
1361806120
13718024660
1381804140
13918025020
1401801260
1411808460
14218012780
14318025740
144180720
1451805220
14618013140
1471808820
1481806660
14918026820
150180900
15118027180
1521806840
1531803060
15418013860
1551805580
1561802340
15718028260
15818014220
1591809540
1601801440
16118028980
1621801620
16318029340
1641807380

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 180? (The answer is: 900). Select the first number (e.g. '150') and the second number (e.g. '180'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 150 and 180?

LCM of 150 and 180 is 900

See Also