LCM for 66, 99 and 132

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What's the Least Common Multiple (LCM) of 66, 99 and 132?

Answer

LCM of 66, 99 and 132 is
396

First common multiples: 396; 792; 1,188; …

396 is divisible by all three: 396 ÷ 66 = 6, 396 ÷ 99 = 4, 396 ÷ 132 = 3 — and 6, 4 and 3 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/66 by 6 and of y/99 by 4 and of z/132 by 3.

66 = 2 × 3 × 11

99 = 32 × 11

132 = 22 × 3 × 11

Prime6699132Highest power
22—2222
3332332
1111111111

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

LCM = 22 × 32 × 11 = 396

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
66991172,574
669911811,682
669911923,562
66991203,960
66991212,178
669912212,078
66991238,118
669912412,276
669912524,750
66991261,386
669912725,146
669912812,672
66991298,514
669913012,870
669913125,938
6699132396
669913326,334
669913413,266
66991352,970
669913613,464
669913727,126
66991384,554
669913927,522
669914013,860
66991419,306
669914214,058
66991432,574
66991441,584
669914528,710
669914614,454

FAQ

What's the Least Common Multiple (LCM) of 66, 99 and 132?

LCM of 66, 99 and 132 is 396

How to find the LCM of 66, 99 and 132 by prime factorization?

Take every prime that appears in 66, 99 and 132 to the highest power it reaches in any one of them and multiply: 2² × 3² × 11 = 396.

Can you get the LCM of 66, 99 and 132 two numbers at a time?

Yes. The LCM of 66 and 99 is 198, and the LCM of 198 and 132 is 396 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 396 divisible by 66, 99 and 132?

Yes, and by definition it is the smallest positive integer that is: 396 ÷ 66, 396 ÷ 99 and 396 ÷ 132 all come out whole. Any other common multiple of 66, 99 and 132 is a multiple of 396.

See Also