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What is the Least Common Multiple of 91050 and 91063?

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 91050 and 91063 is 8291286150.

LCM(91050,91063) = 8291286150

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Least Common Multiple of 91050 and 91063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91050 and 91063, than apply into the LCM equation.

GCF(91050,91063) = 1
LCM(91050,91063) = ( 91050 × 91063) / 1
LCM(91050,91063) = 8291286150 / 1
LCM(91050,91063) = 8291286150

Least Common Multiple (LCM) of 91050 and 91063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91050 and 91063. First we will calculate the prime factors of 91050 and 91063.

Prime Factorization of 91050

Prime factors of 91050 are 2, 3, 5, 607. Prime factorization of 91050 in exponential form is:

91050 = 21 × 31 × 52 × 6071

Prime Factorization of 91063

Prime factors of 91063 are 7, 13009. Prime factorization of 91063 in exponential form is:

91063 = 71 × 130091

Now multiplying the highest exponent prime factors to calculate the LCM of 91050 and 91063.

LCM(91050,91063) = 21 × 31 × 52 × 6071 × 71 × 130091
LCM(91050,91063) = 8291286150