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What is the Least Common Multiple of 94454 and 94468?

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 94468 is 4461440236.

LCM(94454,94468) = 4461440236

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Least Common Multiple of 94454 and 94468 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 94468, than apply into the LCM equation.

GCF(94454,94468) = 2
LCM(94454,94468) = ( 94454 × 94468) / 2
LCM(94454,94468) = 8922880472 / 2
LCM(94454,94468) = 4461440236

Least Common Multiple (LCM) of 94454 and 94468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94454 and 94468. First we will calculate the prime factors of 94454 and 94468.

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 94468

Prime factors of 94468 are 2, 11, 19, 113. Prime factorization of 94468 in exponential form is:

94468 = 22 × 111 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 94454 and 94468.

LCM(94454,94468) = 22 × 831 × 5691 × 111 × 191 × 1131
LCM(94454,94468) = 4461440236