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What is the Least Common Multiple of 93640 and 93659?

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 93640 and 93659 is 8770228760.

LCM(93640,93659) = 8770228760

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Least Common Multiple of 93640 and 93659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93640 and 93659, than apply into the LCM equation.

GCF(93640,93659) = 1
LCM(93640,93659) = ( 93640 × 93659) / 1
LCM(93640,93659) = 8770228760 / 1
LCM(93640,93659) = 8770228760

Least Common Multiple (LCM) of 93640 and 93659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93640 and 93659. First we will calculate the prime factors of 93640 and 93659.

Prime Factorization of 93640

Prime factors of 93640 are 2, 5, 2341. Prime factorization of 93640 in exponential form is:

93640 = 23 × 51 × 23411

Prime Factorization of 93659

Prime factors of 93659 are 73, 1283. Prime factorization of 93659 in exponential form is:

93659 = 731 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 93640 and 93659.

LCM(93640,93659) = 23 × 51 × 23411 × 731 × 12831
LCM(93640,93659) = 8770228760