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What is the Least Common Multiple of 93650 and 93670?

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 93650 and 93670 is 877219550.

LCM(93650,93670) = 877219550

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Least Common Multiple of 93650 and 93670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93650 and 93670, than apply into the LCM equation.

GCF(93650,93670) = 10
LCM(93650,93670) = ( 93650 × 93670) / 10
LCM(93650,93670) = 8772195500 / 10
LCM(93650,93670) = 877219550

Least Common Multiple (LCM) of 93650 and 93670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93650 and 93670. First we will calculate the prime factors of 93650 and 93670.

Prime Factorization of 93650

Prime factors of 93650 are 2, 5, 1873. Prime factorization of 93650 in exponential form is:

93650 = 21 × 52 × 18731

Prime Factorization of 93670

Prime factors of 93670 are 2, 5, 17, 19, 29. Prime factorization of 93670 in exponential form is:

93670 = 21 × 51 × 171 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 93650 and 93670.

LCM(93650,93670) = 21 × 52 × 18731 × 171 × 191 × 291
LCM(93650,93670) = 877219550