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What is the Least Common Multiple of 93878 and 93888?

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 93878 and 93888 is 4407008832.

LCM(93878,93888) = 4407008832

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Least Common Multiple of 93878 and 93888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93878 and 93888, than apply into the LCM equation.

GCF(93878,93888) = 2
LCM(93878,93888) = ( 93878 × 93888) / 2
LCM(93878,93888) = 8814017664 / 2
LCM(93878,93888) = 4407008832

Least Common Multiple (LCM) of 93878 and 93888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93878 and 93888. First we will calculate the prime factors of 93878 and 93888.

Prime Factorization of 93878

Prime factors of 93878 are 2, 73, 643. Prime factorization of 93878 in exponential form is:

93878 = 21 × 731 × 6431

Prime Factorization of 93888

Prime factors of 93888 are 2, 3, 163. Prime factorization of 93888 in exponential form is:

93888 = 26 × 32 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 93878 and 93888.

LCM(93878,93888) = 26 × 731 × 6431 × 32 × 1631
LCM(93878,93888) = 4407008832