LCM for 66 and 84

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What's the Least Common Multiple (LCM) of 66 and 84?

Answer

LCM of 66 and 84 is
924

First common multiples: 924; 1,848; 2,772; …

924 is divisible by both: 924 ÷ 66 = 14, 924 ÷ 84 = 11 — and 14 and 11 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/66 by 14 and of y/84 by 11.

66 = 2 × 3 × 11

84 = 22 × 3 × 7

Prime6684Highest power
222222
3333
7—77
1111—11

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

LCM = 22 × 3 × 7 × 11 = 924

See Also

LCM Table

Number 1Number 2LCM
66691,518
66702,310
66714,686
6672792
66734,818
66742,442
66751,650
66762,508
6677462
6678858
66795,214
66802,640
66811,782
66822,706
66835,478
6684924
66855,610
66862,838
66871,914
6688264
66895,874
6690990
66916,006
66923,036
66932,046
66943,102
66956,270
66961,056
66976,402
66983,234

FAQ

What's the Least Common Multiple (LCM) of 66 and 84?

LCM of 66 and 84 is 924

How to find the LCM of 66 and 84 using prime factorization?

To find the LCM of 66 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 924.

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 66 and 84: LCM = 924, GCF = 6.