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What is the Least Common Multiple of 91273 and 91279?

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 91273 and 91279 is 8331308167.

LCM(91273,91279) = 8331308167

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Least Common Multiple of 91273 and 91279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91273 and 91279, than apply into the LCM equation.

GCF(91273,91279) = 1
LCM(91273,91279) = ( 91273 × 91279) / 1
LCM(91273,91279) = 8331308167 / 1
LCM(91273,91279) = 8331308167

Least Common Multiple (LCM) of 91273 and 91279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91273 and 91279. First we will calculate the prime factors of 91273 and 91279.

Prime Factorization of 91273

Prime factors of 91273 are 7, 13, 17, 59. Prime factorization of 91273 in exponential form is:

91273 = 71 × 131 × 171 × 591

Prime Factorization of 91279

Prime factors of 91279 are 37, 2467. Prime factorization of 91279 in exponential form is:

91279 = 371 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 91273 and 91279.

LCM(91273,91279) = 71 × 131 × 171 × 591 × 371 × 24671
LCM(91273,91279) = 8331308167