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What is the Least Common Multiple of 93619 and 93625?

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 93619 and 93625 is 8765078875.

LCM(93619,93625) = 8765078875

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Least Common Multiple of 93619 and 93625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93619 and 93625, than apply into the LCM equation.

GCF(93619,93625) = 1
LCM(93619,93625) = ( 93619 × 93625) / 1
LCM(93619,93625) = 8765078875 / 1
LCM(93619,93625) = 8765078875

Least Common Multiple (LCM) of 93619 and 93625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93619 and 93625. First we will calculate the prime factors of 93619 and 93625.

Prime Factorization of 93619

Prime factors of 93619 are 17, 5507. Prime factorization of 93619 in exponential form is:

93619 = 171 × 55071

Prime Factorization of 93625

Prime factors of 93625 are 5, 7, 107. Prime factorization of 93625 in exponential form is:

93625 = 53 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 93619 and 93625.

LCM(93619,93625) = 171 × 55071 × 53 × 71 × 1071
LCM(93619,93625) = 8765078875