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What is the Least Common Multiple of 93916 and 93926?

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 93916 and 93926 is 4410577108.

LCM(93916,93926) = 4410577108

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Least Common Multiple of 93916 and 93926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93916 and 93926, than apply into the LCM equation.

GCF(93916,93926) = 2
LCM(93916,93926) = ( 93916 × 93926) / 2
LCM(93916,93926) = 8821154216 / 2
LCM(93916,93926) = 4410577108

Least Common Multiple (LCM) of 93916 and 93926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93916 and 93926. First we will calculate the prime factors of 93916 and 93926.

Prime Factorization of 93916

Prime factors of 93916 are 2, 53, 443. Prime factorization of 93916 in exponential form is:

93916 = 22 × 531 × 4431

Prime Factorization of 93926

Prime factors of 93926 are 2, 7, 6709. Prime factorization of 93926 in exponential form is:

93926 = 21 × 71 × 67091

Now multiplying the highest exponent prime factors to calculate the LCM of 93916 and 93926.

LCM(93916,93926) = 22 × 531 × 4431 × 71 × 67091
LCM(93916,93926) = 4410577108