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What is the Least Common Multiple of 93685 and 93689?

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 93685 and 93689 is 8777253965.

LCM(93685,93689) = 8777253965

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Least Common Multiple of 93685 and 93689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93685 and 93689, than apply into the LCM equation.

GCF(93685,93689) = 1
LCM(93685,93689) = ( 93685 × 93689) / 1
LCM(93685,93689) = 8777253965 / 1
LCM(93685,93689) = 8777253965

Least Common Multiple (LCM) of 93685 and 93689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93685 and 93689. First we will calculate the prime factors of 93685 and 93689.

Prime Factorization of 93685

Prime factors of 93685 are 5, 41, 457. Prime factorization of 93685 in exponential form is:

93685 = 51 × 411 × 4571

Prime Factorization of 93689

Prime factors of 93689 are 19, 4931. Prime factorization of 93689 in exponential form is:

93689 = 191 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 93685 and 93689.

LCM(93685,93689) = 51 × 411 × 4571 × 191 × 49311
LCM(93685,93689) = 8777253965