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What is the Least Common Multiple of 91015 and 91032?

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 91015 and 91032 is 8285277480.

LCM(91015,91032) = 8285277480

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Least Common Multiple of 91015 and 91032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91015 and 91032, than apply into the LCM equation.

GCF(91015,91032) = 1
LCM(91015,91032) = ( 91015 × 91032) / 1
LCM(91015,91032) = 8285277480 / 1
LCM(91015,91032) = 8285277480

Least Common Multiple (LCM) of 91015 and 91032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91015 and 91032. First we will calculate the prime factors of 91015 and 91032.

Prime Factorization of 91015

Prime factors of 91015 are 5, 109, 167. Prime factorization of 91015 in exponential form is:

91015 = 51 × 1091 × 1671

Prime Factorization of 91032

Prime factors of 91032 are 2, 3, 3793. Prime factorization of 91032 in exponential form is:

91032 = 23 × 31 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 91015 and 91032.

LCM(91015,91032) = 51 × 1091 × 1671 × 23 × 31 × 37931
LCM(91015,91032) = 8285277480