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What is the Least Common Multiple of 93836 and 93854?

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 93836 and 93854 is 4403441972.

LCM(93836,93854) = 4403441972

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Least Common Multiple of 93836 and 93854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93836 and 93854, than apply into the LCM equation.

GCF(93836,93854) = 2
LCM(93836,93854) = ( 93836 × 93854) / 2
LCM(93836,93854) = 8806883944 / 2
LCM(93836,93854) = 4403441972

Least Common Multiple (LCM) of 93836 and 93854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93836 and 93854. First we will calculate the prime factors of 93836 and 93854.

Prime Factorization of 93836

Prime factors of 93836 are 2, 23459. Prime factorization of 93836 in exponential form is:

93836 = 22 × 234591

Prime Factorization of 93854

Prime factors of 93854 are 2, 167, 281. Prime factorization of 93854 in exponential form is:

93854 = 21 × 1671 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 93836 and 93854.

LCM(93836,93854) = 22 × 234591 × 1671 × 2811
LCM(93836,93854) = 4403441972