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What is the Least Common Multiple of 93717 and 93724?

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 93717 and 93724 is 8783532108.

LCM(93717,93724) = 8783532108

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Least Common Multiple of 93717 and 93724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93717 and 93724, than apply into the LCM equation.

GCF(93717,93724) = 1
LCM(93717,93724) = ( 93717 × 93724) / 1
LCM(93717,93724) = 8783532108 / 1
LCM(93717,93724) = 8783532108

Least Common Multiple (LCM) of 93717 and 93724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93717 and 93724. First we will calculate the prime factors of 93717 and 93724.

Prime Factorization of 93717

Prime factors of 93717 are 3, 13, 89. Prime factorization of 93717 in exponential form is:

93717 = 34 × 131 × 891

Prime Factorization of 93724

Prime factors of 93724 are 2, 23431. Prime factorization of 93724 in exponential form is:

93724 = 22 × 234311

Now multiplying the highest exponent prime factors to calculate the LCM of 93717 and 93724.

LCM(93717,93724) = 34 × 131 × 891 × 22 × 234311
LCM(93717,93724) = 8783532108