LCM for 315 and 180

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 315 and 180?

Answer

LCM of 315 and 180 is
1,260

(One thousand two hundred sixty)

Finding LCM for 315 and 180 using GCF of these numbers

The first method to find LCM for numbers 315 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 315 and 180 is 45, so

LCM = (315 × 180) ÷ 45

LCM = 56,700 ÷ 45

LCM = 1,260

Finding LCM for 315 and 180 by Listing Multiples

The second method to find LCM for numbers 315 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 315: 315, 630, 945, 1260, 1575, 1890

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620

So the LCM for 315 and 180 is 1,260

Finding LCM for 315 and 180 by Prime Factorization

Another method to find LCM for numbers 315 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

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

32 × 51 × 71 × 22 = 1,260

Related Calculations

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 315 and 180? (The answer is: 1,260). Select the first number (e.g. '315') 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

LCM Table

Number 1Number 2LCM
3151653,465
31516652,290
31516752,605
3151682,520
31516953,235
31517010,710
3151715,985
31517254,180
31517354,495
31517418,270
3151751,575
31517655,440
31517718,585
31517856,070
31517956,385
3151801,260
31518157,015
3151828,190
31518319,215
31518457,960
31518511,655
31518619,530
31518758,905
31518859,220
315189945
31519011,970
31519160,165
31519220,160
31519360,795
31519461,110

FAQ

What's the Least Common Multiple (LCM) of 315 and 180?

LCM of 315 and 180 is 1,260

How to find the LCM of 315 and 180 using prime factorization?

To find the LCM of 315 and 180, 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 315 and 180: LCM = 1,260, GCF = 45.

See Also