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What is the Least Common Multiple of 91549 and 91564?

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 91549 and 91564 is 8382592636.

LCM(91549,91564) = 8382592636

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Least Common Multiple of 91549 and 91564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91549 and 91564, than apply into the LCM equation.

GCF(91549,91564) = 1
LCM(91549,91564) = ( 91549 × 91564) / 1
LCM(91549,91564) = 8382592636 / 1
LCM(91549,91564) = 8382592636

Least Common Multiple (LCM) of 91549 and 91564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91549 and 91564. First we will calculate the prime factors of 91549 and 91564.

Prime Factorization of 91549

Prime factors of 91549 are 83, 1103. Prime factorization of 91549 in exponential form is:

91549 = 831 × 11031

Prime Factorization of 91564

Prime factors of 91564 are 2, 11, 2081. Prime factorization of 91564 in exponential form is:

91564 = 22 × 111 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 91549 and 91564.

LCM(91549,91564) = 831 × 11031 × 22 × 111 × 20811
LCM(91549,91564) = 8382592636