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What is the Least Common Multiple of 64266 and 64273?

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 64266 and 64273 is 4130568618.

LCM(64266,64273) = 4130568618

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Least Common Multiple of 64266 and 64273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64266 and 64273, than apply into the LCM equation.

GCF(64266,64273) = 1
LCM(64266,64273) = ( 64266 × 64273) / 1
LCM(64266,64273) = 4130568618 / 1
LCM(64266,64273) = 4130568618

Least Common Multiple (LCM) of 64266 and 64273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64266 and 64273. First we will calculate the prime factors of 64266 and 64273.

Prime Factorization of 64266

Prime factors of 64266 are 2, 3, 10711. Prime factorization of 64266 in exponential form is:

64266 = 21 × 31 × 107111

Prime Factorization of 64273

Prime factors of 64273 are 11, 5843. Prime factorization of 64273 in exponential form is:

64273 = 111 × 58431

Now multiplying the highest exponent prime factors to calculate the LCM of 64266 and 64273.

LCM(64266,64273) = 21 × 31 × 107111 × 111 × 58431
LCM(64266,64273) = 4130568618