LCM for 150 and 180

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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 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 = 27,000 ÷ 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 numbers and pick the first one that matches:

Multiples of 150: 150, 300, 450, 600, 750, 900, 1,050, 1,200

Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260

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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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
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LCM Table

Number 1Number 2LCM
1501651,650
15016612,450
15016725,050
1501684,200
15016925,350
1501702,550
1501718,550
15017212,900
15017325,950
1501744,350
1501751,050
15017613,200
1501778,850
15017813,350
15017926,850
150180900
15018127,150
15018213,650
1501839,150
15018413,800
1501855,550
1501864,650
15018728,050
15018814,100
1501899,450
1501902,850
15019128,650
1501924,800
15019328,950
15019414,550

FAQ

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

LCM of 150 and 180 is 900

How to find the LCM of 150 and 180 using prime factorization?

To find the LCM of 150 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 150 and 180: LCM = 900, GCF = 30.

See Also