LCM for 180 and 330

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What's the Least Common Multiple (LCM) of 180 and 330?

Answer

LCM of 180 and 330 is
1,980

First common multiples: 1,980; 3,960; 5,940; …

1,980 is divisible by both: 1,980 ÷ 180 = 11; 1,980 ÷ 330 = 6 — and 11 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 11 and of y/330 by 6.

180 = 22 × 32 × 5

330 = 2 × 3 × 5 × 11

Prime180330Highest power
222222
332332
5555
11—1111

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 32 × 5 × 11 = 1,980

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1803151,260
18031614,220
18031757,060
1803189,540
18031957,420
1803202,880
18032119,260
18032228,980
18032358,140
1803241,620
18032511,700
18032629,340
18032719,620
18032814,760
18032959,220
1803301,980
18033159,580
18033214,940
1803336,660
18033430,060
18033512,060
1803365,040
18033760,660
18033830,420
18033920,340
1803403,060
18034161,380
1803423,420
18034361,740
18034415,480

FAQ

What's the Least Common Multiple (LCM) of 180 and 330?

LCM of 180 and 330 is 1,980

How to find the LCM of 180 and 330 using prime factorization?

To find the LCM of 180 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

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 330: LCM = 1,980, GCF = 30.

See Also