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What is the Least Common Multiple of 93964 and 93976?

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 93964 and 93976 is 2207590216.

LCM(93964,93976) = 2207590216

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Least Common Multiple of 93964 and 93976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93964 and 93976, than apply into the LCM equation.

GCF(93964,93976) = 4
LCM(93964,93976) = ( 93964 × 93976) / 4
LCM(93964,93976) = 8830360864 / 4
LCM(93964,93976) = 2207590216

Least Common Multiple (LCM) of 93964 and 93976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93964 and 93976. First we will calculate the prime factors of 93964 and 93976.

Prime Factorization of 93964

Prime factors of 93964 are 2, 13, 139. Prime factorization of 93964 in exponential form is:

93964 = 22 × 132 × 1391

Prime Factorization of 93976

Prime factors of 93976 are 2, 17, 691. Prime factorization of 93976 in exponential form is:

93976 = 23 × 171 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 93964 and 93976.

LCM(93964,93976) = 23 × 132 × 1391 × 171 × 6911
LCM(93964,93976) = 2207590216