LCM for 180 and 600

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What's the Least Common Multiple (LCM) of 180 and 600?

Answer

LCM of 180 and 600 is
1,800

First common multiples: 1,800; 3,600; 5,400; …

1,800 is divisible by both: 1,800 ÷ 180 = 10; 1,800 ÷ 600 = 3 — and 10 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 10 and of y/600 by 3.

180 = 22 × 32 × 5

600 = 23 × 3 × 52

Prime180600Highest power
2222323
332332
555252

LCM = 23 × 32 × 52 = 1,800

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1805852,340
18058652,740
180587105,660
1805888,820
180589106,020
18059010,620
18059135,460
18059226,640
180593106,740
1805945,940
18059521,420
18059626,820
18059735,820
18059853,820
180599107,820
1806001,800
180601108,180
18060254,180
18060312,060
18060427,180
18060521,780
18060618,180
180607109,260
18060827,360
18060936,540
18061010,980
180611109,980
1806123,060
180613110,340
18061455,260

FAQ

What's the Least Common Multiple (LCM) of 180 and 600?

LCM of 180 and 600 is 1,800

How to find the LCM of 180 and 600 using prime factorization?

To find the LCM of 180 and 600, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

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 600: LCM = 1,800, GCF = 60.

See Also