LCM for 180 and 252

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What's the Least Common Multiple (LCM) of 180 and 252?

Answer

LCM of 180 and 252 is
1,260

(One thousand two hundred sixty)

Finding LCM for 180 and 252 using GCF of these numbers

The first method to find LCM for numbers 180 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 252 is 36, so

LCM = (180 × 252) ÷ 36

LCM = 45,360 ÷ 36

LCM = 1,260

Finding LCM for 180 and 252 by Listing Multiples

The second method to find LCM for numbers 180 and 252 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620

Multiples of 252: 252, 504, 756, 1,008, 1,260, 1,512, 1,764

So the LCM for 180 and 252 is 1,260

Finding LCM for 180 and 252 by Prime Factorization

Another method to find LCM for numbers 180 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

22 × 32 × 51 × 71 = 1,260

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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 180 and 252? (The answer is: 1,260). Select the first number (e.g. '180') and the second number (e.g. '252'). 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
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LCM Table

Number 1Number 2LCM
18023714,220
18023821,420
18023943,020
180240720
18024143,380
18024221,780
1802434,860
18024410,980
1802458,820
1802467,380
18024744,460
18024811,160
18024914,940
1802504,500
18025145,180
1802521,260
18025345,540
18025422,860
1802553,060
18025611,520
18025746,260
1802587,740
18025946,620
1802602,340
1802615,220
18026223,580
18026347,340
1802643,960
1802659,540
18026623,940

FAQ

What's the Least Common Multiple (LCM) of 180 and 252?

LCM of 180 and 252 is 1,260

How to find the LCM of 180 and 252 using prime factorization?

To find the LCM of 180 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 180 and 252: LCM = 1,260, GCF = 36.

See Also