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What is the Least Common Multiple of 91875 and 91882?

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 91875 and 91882 is 1205951250.

LCM(91875,91882) = 1205951250

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Least Common Multiple of 91875 and 91882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91875 and 91882, than apply into the LCM equation.

GCF(91875,91882) = 7
LCM(91875,91882) = ( 91875 × 91882) / 7
LCM(91875,91882) = 8441658750 / 7
LCM(91875,91882) = 1205951250

Least Common Multiple (LCM) of 91875 and 91882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91875 and 91882. First we will calculate the prime factors of 91875 and 91882.

Prime Factorization of 91875

Prime factors of 91875 are 3, 5, 7. Prime factorization of 91875 in exponential form is:

91875 = 31 × 54 × 72

Prime Factorization of 91882

Prime factors of 91882 are 2, 7, 6563. Prime factorization of 91882 in exponential form is:

91882 = 21 × 71 × 65631

Now multiplying the highest exponent prime factors to calculate the LCM of 91875 and 91882.

LCM(91875,91882) = 31 × 54 × 72 × 21 × 65631
LCM(91875,91882) = 1205951250