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What is the Least Common Multiple of 91514 and 91523?

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 91514 and 91523 is 8375635822.

LCM(91514,91523) = 8375635822

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Least Common Multiple of 91514 and 91523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91514 and 91523, than apply into the LCM equation.

GCF(91514,91523) = 1
LCM(91514,91523) = ( 91514 × 91523) / 1
LCM(91514,91523) = 8375635822 / 1
LCM(91514,91523) = 8375635822

Least Common Multiple (LCM) of 91514 and 91523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91514 and 91523. First we will calculate the prime factors of 91514 and 91523.

Prime Factorization of 91514

Prime factors of 91514 are 2, 45757. Prime factorization of 91514 in exponential form is:

91514 = 21 × 457571

Prime Factorization of 91523

Prime factors of 91523 are 19, 4817. Prime factorization of 91523 in exponential form is:

91523 = 191 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 91514 and 91523.

LCM(91514,91523) = 21 × 457571 × 191 × 48171
LCM(91514,91523) = 8375635822