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What is the Least Common Multiple of 93938 and 93944?

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 93938 and 93944 is 4412455736.

LCM(93938,93944) = 4412455736

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Least Common Multiple of 93938 and 93944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93938 and 93944, than apply into the LCM equation.

GCF(93938,93944) = 2
LCM(93938,93944) = ( 93938 × 93944) / 2
LCM(93938,93944) = 8824911472 / 2
LCM(93938,93944) = 4412455736

Least Common Multiple (LCM) of 93938 and 93944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93938 and 93944. First we will calculate the prime factors of 93938 and 93944.

Prime Factorization of 93938

Prime factors of 93938 are 2, 13, 3613. Prime factorization of 93938 in exponential form is:

93938 = 21 × 131 × 36131

Prime Factorization of 93944

Prime factors of 93944 are 2, 11743. Prime factorization of 93944 in exponential form is:

93944 = 23 × 117431

Now multiplying the highest exponent prime factors to calculate the LCM of 93938 and 93944.

LCM(93938,93944) = 23 × 131 × 36131 × 117431
LCM(93938,93944) = 4412455736