LCM for 66 and 100

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What's the Least Common Multiple (LCM) of 66 and 100?

Answer

LCM of 66 and 100 is
3,300

First common multiples: 3,300; 6,600; 9,900; …

3,300 is divisible by both: 3,300 ÷ 66 = 50; 3,300 ÷ 100 = 33 — and 50 and 33 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/66 by 50 and of y/100 by 33.

66 = 2 × 3 × 11

100 = 22 × 52

Prime66100Highest power
222222
33—3
5—5252
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 × 52 × 11 = 3,300

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LCM Table

Number 1Number 2LCM
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
6699198
661003,300
661016,666
661021,122
661036,798
661043,432
661052,310
661063,498
661077,062
661081,188
661097,194
66110330
661112,442
661123,696
661137,458
661141,254

FAQ

What's the Least Common Multiple (LCM) of 66 and 100?

LCM of 66 and 100 is 3,300

How to find the LCM of 66 and 100 using prime factorization?

To find the LCM of 66 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,300.

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 100: LCM = 3,300, GCF = 2.

See Also