LCM for 264 and 300

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What's the Least Common Multiple (LCM) of 264 and 300?

Answer

LCM of 264 and 300 is
6,600

First common multiples: 6,600; 13,200; 19,800; …

6,600 is divisible by both: 6,600 ÷ 264 = 25; 6,600 ÷ 300 = 22 — and 25 and 22 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/264 by 25 and of y/300 by 22.

264 = 23 × 3 × 11

300 = 22 × 3 × 52

Prime264300Highest power
2232223
3333
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 = 23 × 3 × 52 × 11 = 6,600

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
26428525,080
2642863,432
26428775,768
2642883,168
26428976,296
26429038,280
26429125,608
26429219,272
26429377,352
26429412,936
26429577,880
2642969,768
2642972,376
26429839,336
26429978,936
2643006,600
26430179,464
26430239,864
26430326,664
26430410,032
26430580,520
26430613,464
26430781,048
2643081,848
26430927,192
26431040,920
26431182,104
2643123,432
26431382,632
26431441,448

FAQ

What's the Least Common Multiple (LCM) of 264 and 300?

LCM of 264 and 300 is 6,600

How to find the LCM of 264 and 300 using prime factorization?

To find the LCM of 264 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,600.

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 264 and 300: LCM = 6,600, GCF = 12.

See Also