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What is the Least Common Multiple of 91724 and 91739?

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 91724 and 91739 is 8414668036.

LCM(91724,91739) = 8414668036

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Least Common Multiple of 91724 and 91739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91724 and 91739, than apply into the LCM equation.

GCF(91724,91739) = 1
LCM(91724,91739) = ( 91724 × 91739) / 1
LCM(91724,91739) = 8414668036 / 1
LCM(91724,91739) = 8414668036

Least Common Multiple (LCM) of 91724 and 91739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91724 and 91739. First we will calculate the prime factors of 91724 and 91739.

Prime Factorization of 91724

Prime factors of 91724 are 2, 23, 997. Prime factorization of 91724 in exponential form is:

91724 = 22 × 231 × 9971

Prime Factorization of 91739

Prime factors of 91739 are 199, 461. Prime factorization of 91739 in exponential form is:

91739 = 1991 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 91724 and 91739.

LCM(91724,91739) = 22 × 231 × 9971 × 1991 × 4611
LCM(91724,91739) = 8414668036