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What is the Least Common Multiple of 67255 and 67264?

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 67255 and 67264 is 4523840320.

LCM(67255,67264) = 4523840320

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Least Common Multiple of 67255 and 67264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67255 and 67264, than apply into the LCM equation.

GCF(67255,67264) = 1
LCM(67255,67264) = ( 67255 × 67264) / 1
LCM(67255,67264) = 4523840320 / 1
LCM(67255,67264) = 4523840320

Least Common Multiple (LCM) of 67255 and 67264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67255 and 67264. First we will calculate the prime factors of 67255 and 67264.

Prime Factorization of 67255

Prime factors of 67255 are 5, 13451. Prime factorization of 67255 in exponential form is:

67255 = 51 × 134511

Prime Factorization of 67264

Prime factors of 67264 are 2, 1051. Prime factorization of 67264 in exponential form is:

67264 = 26 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 67255 and 67264.

LCM(67255,67264) = 51 × 134511 × 26 × 10511
LCM(67255,67264) = 4523840320