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What is the Least Common Multiple of 6255 and 6264?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6255 and 6264 is 4353480.

LCM(6255,6264) = 4353480

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Least Common Multiple of 6255 and 6264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6255 and 6264, than apply into the LCM equation.

GCF(6255,6264) = 9
LCM(6255,6264) = ( 6255 × 6264) / 9
LCM(6255,6264) = 39181320 / 9
LCM(6255,6264) = 4353480

Least Common Multiple (LCM) of 6255 and 6264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6255 and 6264. First we will calculate the prime factors of 6255 and 6264.

Prime Factorization of 6255

Prime factors of 6255 are 3, 5, 139. Prime factorization of 6255 in exponential form is:

6255 = 32 × 51 × 1391

Prime Factorization of 6264

Prime factors of 6264 are 2, 3, 29. Prime factorization of 6264 in exponential form is:

6264 = 23 × 33 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6255 and 6264.

LCM(6255,6264) = 33 × 51 × 1391 × 23 × 291
LCM(6255,6264) = 4353480