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What is the Least Common Multiple of 93756 and 93765?

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 93756 and 93765 is 2930343780.

LCM(93756,93765) = 2930343780

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Least Common Multiple of 93756 and 93765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93756 and 93765, than apply into the LCM equation.

GCF(93756,93765) = 3
LCM(93756,93765) = ( 93756 × 93765) / 3
LCM(93756,93765) = 8791031340 / 3
LCM(93756,93765) = 2930343780

Least Common Multiple (LCM) of 93756 and 93765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93756 and 93765. First we will calculate the prime factors of 93756 and 93765.

Prime Factorization of 93756

Prime factors of 93756 are 2, 3, 13, 601. Prime factorization of 93756 in exponential form is:

93756 = 22 × 31 × 131 × 6011

Prime Factorization of 93765

Prime factors of 93765 are 3, 5, 7, 19, 47. Prime factorization of 93765 in exponential form is:

93765 = 31 × 51 × 71 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 93756 and 93765.

LCM(93756,93765) = 22 × 31 × 131 × 6011 × 51 × 71 × 191 × 471
LCM(93756,93765) = 2930343780