LCM for 180 and 240

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 180 and 240?

Answer

LCM of 180 and 240 is
720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by both: 720 ÷ 180 = 4, 720 ÷ 240 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 4 and of y/240 by 3.

180 = 22 × 32 × 5

240 = 24 × 3 × 5

Prime180240Highest power
2222424
332332
5555

LCM = 24 × 32 × 5 = 720

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
180225900
18022620,340
18022740,860
1802283,420
18022941,220
1802304,140
18023113,860
18023210,440
18023341,940
1802342,340
1802358,460
18023610,620
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

FAQ

What's the Least Common Multiple (LCM) of 180 and 240?

LCM of 180 and 240 is 720

How to find the LCM of 180 and 240 using prime factorization?

To find the LCM of 180 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 240: LCM = 720, GCF = 60.

See Also