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What is the Least Common Multiple of 93970 and 93983?

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 93970 and 93983 is 8831582510.

LCM(93970,93983) = 8831582510

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Least Common Multiple of 93970 and 93983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93970 and 93983, than apply into the LCM equation.

GCF(93970,93983) = 1
LCM(93970,93983) = ( 93970 × 93983) / 1
LCM(93970,93983) = 8831582510 / 1
LCM(93970,93983) = 8831582510

Least Common Multiple (LCM) of 93970 and 93983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93970 and 93983. First we will calculate the prime factors of 93970 and 93983.

Prime Factorization of 93970

Prime factors of 93970 are 2, 5, 9397. Prime factorization of 93970 in exponential form is:

93970 = 21 × 51 × 93971

Prime Factorization of 93983

Prime factors of 93983 are 93983. Prime factorization of 93983 in exponential form is:

93983 = 939831

Now multiplying the highest exponent prime factors to calculate the LCM of 93970 and 93983.

LCM(93970,93983) = 21 × 51 × 93971 × 939831
LCM(93970,93983) = 8831582510