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What is the Least Common Multiple of 91744 and 91756?

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 91744 and 91756 is 2104515616.

LCM(91744,91756) = 2104515616

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Least Common Multiple of 91744 and 91756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91744 and 91756, than apply into the LCM equation.

GCF(91744,91756) = 4
LCM(91744,91756) = ( 91744 × 91756) / 4
LCM(91744,91756) = 8418062464 / 4
LCM(91744,91756) = 2104515616

Least Common Multiple (LCM) of 91744 and 91756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91744 and 91756. First we will calculate the prime factors of 91744 and 91756.

Prime Factorization of 91744

Prime factors of 91744 are 2, 47, 61. Prime factorization of 91744 in exponential form is:

91744 = 25 × 471 × 611

Prime Factorization of 91756

Prime factors of 91756 are 2, 7, 29, 113. Prime factorization of 91756 in exponential form is:

91756 = 22 × 71 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 91744 and 91756.

LCM(91744,91756) = 25 × 471 × 611 × 71 × 291 × 1131
LCM(91744,91756) = 2104515616