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What is the Least Common Multiple of 94454 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 94454 and 94466 is 4461345782.

LCM(94454,94466) = 4461345782

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Least Common Multiple of 94454 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 94454 and 94466, than apply into the LCM equation.

GCF(94454,94466) = 2
LCM(94454,94466) = ( 94454 × 94466) / 2
LCM(94454,94466) = 8922691564 / 2
LCM(94454,94466) = 4461345782

Least Common Multiple (LCM) of 94454 and 94466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94454 and 94466. First we will calculate the prime factors of 94454 and 94466.

Prime Factorization of 94454

Prime factors of 94454 are 2, 83, 569. Prime factorization of 94454 in exponential form is:

94454 = 21 × 831 × 5691

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 94454 and 94466.

LCM(94454,94466) = 21 × 831 × 5691 × 1491 × 3171
LCM(94454,94466) = 4461345782