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What is the Least Common Multiple of 91273 and 91288?

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 91288 is 8332129624.

LCM(91273,91288) = 8332129624

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Least Common Multiple of 91273 and 91288 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 91288, than apply into the LCM equation.

GCF(91273,91288) = 1
LCM(91273,91288) = ( 91273 × 91288) / 1
LCM(91273,91288) = 8332129624 / 1
LCM(91273,91288) = 8332129624

Least Common Multiple (LCM) of 91273 and 91288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91273 and 91288. First we will calculate the prime factors of 91273 and 91288.

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 91288

Prime factors of 91288 are 2, 11411. Prime factorization of 91288 in exponential form is:

91288 = 23 × 114111

Now multiplying the highest exponent prime factors to calculate the LCM of 91273 and 91288.

LCM(91273,91288) = 71 × 131 × 171 × 591 × 23 × 114111
LCM(91273,91288) = 8332129624