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What is the Least Common Multiple of 91713 and 91729?

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 91713 and 91729 is 8412741777.

LCM(91713,91729) = 8412741777

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Least Common Multiple of 91713 and 91729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91713 and 91729, than apply into the LCM equation.

GCF(91713,91729) = 1
LCM(91713,91729) = ( 91713 × 91729) / 1
LCM(91713,91729) = 8412741777 / 1
LCM(91713,91729) = 8412741777

Least Common Multiple (LCM) of 91713 and 91729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91713 and 91729. First we will calculate the prime factors of 91713 and 91729.

Prime Factorization of 91713

Prime factors of 91713 are 3, 19, 1609. Prime factorization of 91713 in exponential form is:

91713 = 31 × 191 × 16091

Prime Factorization of 91729

Prime factors of 91729 are 11, 31, 269. Prime factorization of 91729 in exponential form is:

91729 = 111 × 311 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 91713 and 91729.

LCM(91713,91729) = 31 × 191 × 16091 × 111 × 311 × 2691
LCM(91713,91729) = 8412741777