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What is the Least Common Multiple of 91117 and 91124?

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 91117 and 91124 is 8302945508.

LCM(91117,91124) = 8302945508

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Least Common Multiple of 91117 and 91124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91117 and 91124, than apply into the LCM equation.

GCF(91117,91124) = 1
LCM(91117,91124) = ( 91117 × 91124) / 1
LCM(91117,91124) = 8302945508 / 1
LCM(91117,91124) = 8302945508

Least Common Multiple (LCM) of 91117 and 91124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91117 and 91124. First we will calculate the prime factors of 91117 and 91124.

Prime Factorization of 91117

Prime factors of 91117 are 13, 43, 163. Prime factorization of 91117 in exponential form is:

91117 = 131 × 431 × 1631

Prime Factorization of 91124

Prime factors of 91124 are 2, 11, 19, 109. Prime factorization of 91124 in exponential form is:

91124 = 22 × 111 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 91117 and 91124.

LCM(91117,91124) = 131 × 431 × 1631 × 22 × 111 × 191 × 1091
LCM(91117,91124) = 8302945508