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What is the Least Common Multiple of 64074 and 64083?

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 64074 and 64083 is 1368684714.

LCM(64074,64083) = 1368684714

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Least Common Multiple of 64074 and 64083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64074 and 64083, than apply into the LCM equation.

GCF(64074,64083) = 3
LCM(64074,64083) = ( 64074 × 64083) / 3
LCM(64074,64083) = 4106054142 / 3
LCM(64074,64083) = 1368684714

Least Common Multiple (LCM) of 64074 and 64083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64074 and 64083. First we will calculate the prime factors of 64074 and 64083.

Prime Factorization of 64074

Prime factors of 64074 are 2, 3, 59, 181. Prime factorization of 64074 in exponential form is:

64074 = 21 × 31 × 591 × 1811

Prime Factorization of 64083

Prime factors of 64083 are 3, 41, 521. Prime factorization of 64083 in exponential form is:

64083 = 31 × 411 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 64074 and 64083.

LCM(64074,64083) = 21 × 31 × 591 × 1811 × 411 × 5211
LCM(64074,64083) = 1368684714