LCM for 30 and 180

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 30 and 180?

Answer

LCM of 30 and 180 is
180

First common multiples: 180, 360, 540, …

As a common denominator: multiply the top and bottom of x/30 by 6.

30 divides 180 (180 ÷ 30 = 6), so the LCM is the larger number itself.

30 = 2 × 3 × 5

180 = 22 × 32 × 5

Prime30180Highest power
222222
333232
5555

LCM = 22 × 32 × 5 = 180

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
3057570
3058870
306060
3070210
3075150
3080240
3096480
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110
30195390
302151,290
302351,410
302383,570
30240240
302451,470
30255510
30270270
302751,650
30280840
30285570
30290870
303352,010

FAQ

What's the Least Common Multiple (LCM) of 30 and 180?

LCM of 30 and 180 is 180

How to find the LCM of 30 and 180 using prime factorization?

To find the LCM of 30 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

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 30 and 180: LCM = 180, GCF = 30.

See Also