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What is the Least Common Multiple of 93953 and 93972?

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 93953 and 93972 is 8828951316.

LCM(93953,93972) = 8828951316

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Least Common Multiple of 93953 and 93972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93953 and 93972, than apply into the LCM equation.

GCF(93953,93972) = 1
LCM(93953,93972) = ( 93953 × 93972) / 1
LCM(93953,93972) = 8828951316 / 1
LCM(93953,93972) = 8828951316

Least Common Multiple (LCM) of 93953 and 93972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93953 and 93972. First we will calculate the prime factors of 93953 and 93972.

Prime Factorization of 93953

Prime factors of 93953 are 47, 1999. Prime factorization of 93953 in exponential form is:

93953 = 471 × 19991

Prime Factorization of 93972

Prime factors of 93972 are 2, 3, 41, 191. Prime factorization of 93972 in exponential form is:

93972 = 22 × 31 × 411 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 93953 and 93972.

LCM(93953,93972) = 471 × 19991 × 22 × 31 × 411 × 1911
LCM(93953,93972) = 8828951316