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What is the Least Common Multiple of 94457 and 94466?

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 94457 and 94466 is 8922974962.

LCM(94457,94466) = 8922974962

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Least Common Multiple of 94457 and 94466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94457 and 94466, than apply into the LCM equation.

GCF(94457,94466) = 1
LCM(94457,94466) = ( 94457 × 94466) / 1
LCM(94457,94466) = 8922974962 / 1
LCM(94457,94466) = 8922974962

Least Common Multiple (LCM) of 94457 and 94466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94457 and 94466. First we will calculate the prime factors of 94457 and 94466.

Prime Factorization of 94457

Prime factors of 94457 are 11, 31, 277. Prime factorization of 94457 in exponential form is:

94457 = 111 × 311 × 2771

Prime Factorization of 94466

Prime factors of 94466 are 2, 149, 317. Prime factorization of 94466 in exponential form is:

94466 = 21 × 1491 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 94457 and 94466.

LCM(94457,94466) = 111 × 311 × 2771 × 21 × 1491 × 3171
LCM(94457,94466) = 8922974962