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What is the Least Common Multiple of 91508 and 91526?

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 91508 and 91526 is 4187680604.

LCM(91508,91526) = 4187680604

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Least Common Multiple of 91508 and 91526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91508 and 91526, than apply into the LCM equation.

GCF(91508,91526) = 2
LCM(91508,91526) = ( 91508 × 91526) / 2
LCM(91508,91526) = 8375361208 / 2
LCM(91508,91526) = 4187680604

Least Common Multiple (LCM) of 91508 and 91526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91508 and 91526. First we will calculate the prime factors of 91508 and 91526.

Prime Factorization of 91508

Prime factors of 91508 are 2, 22877. Prime factorization of 91508 in exponential form is:

91508 = 22 × 228771

Prime Factorization of 91526

Prime factors of 91526 are 2, 45763. Prime factorization of 91526 in exponential form is:

91526 = 21 × 457631

Now multiplying the highest exponent prime factors to calculate the LCM of 91508 and 91526.

LCM(91508,91526) = 22 × 228771 × 457631
LCM(91508,91526) = 4187680604