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What is the Least Common Multiple of 93868 and 93876?

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 93868 and 93876 is 2202988092.

LCM(93868,93876) = 2202988092

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Least Common Multiple of 93868 and 93876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93868 and 93876, than apply into the LCM equation.

GCF(93868,93876) = 4
LCM(93868,93876) = ( 93868 × 93876) / 4
LCM(93868,93876) = 8811952368 / 4
LCM(93868,93876) = 2202988092

Least Common Multiple (LCM) of 93868 and 93876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93868 and 93876. First we will calculate the prime factors of 93868 and 93876.

Prime Factorization of 93868

Prime factors of 93868 are 2, 31, 757. Prime factorization of 93868 in exponential form is:

93868 = 22 × 311 × 7571

Prime Factorization of 93876

Prime factors of 93876 are 2, 3, 7823. Prime factorization of 93876 in exponential form is:

93876 = 22 × 31 × 78231

Now multiplying the highest exponent prime factors to calculate the LCM of 93868 and 93876.

LCM(93868,93876) = 22 × 311 × 7571 × 31 × 78231
LCM(93868,93876) = 2202988092