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What is the Least Common Multiple of 93450 and 93458?

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 93450 and 93458 is 4366825050.

LCM(93450,93458) = 4366825050

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Least Common Multiple of 93450 and 93458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93450 and 93458, than apply into the LCM equation.

GCF(93450,93458) = 2
LCM(93450,93458) = ( 93450 × 93458) / 2
LCM(93450,93458) = 8733650100 / 2
LCM(93450,93458) = 4366825050

Least Common Multiple (LCM) of 93450 and 93458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93450 and 93458. First we will calculate the prime factors of 93450 and 93458.

Prime Factorization of 93450

Prime factors of 93450 are 2, 3, 5, 7, 89. Prime factorization of 93450 in exponential form is:

93450 = 21 × 31 × 52 × 71 × 891

Prime Factorization of 93458

Prime factors of 93458 are 2, 83, 563. Prime factorization of 93458 in exponential form is:

93458 = 21 × 831 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 93450 and 93458.

LCM(93450,93458) = 21 × 31 × 52 × 71 × 891 × 831 × 5631
LCM(93450,93458) = 4366825050