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What is the Least Common Multiple of 91154 and 91163?

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 91154 and 91163 is 8309872102.

LCM(91154,91163) = 8309872102

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Least Common Multiple of 91154 and 91163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91154 and 91163, than apply into the LCM equation.

GCF(91154,91163) = 1
LCM(91154,91163) = ( 91154 × 91163) / 1
LCM(91154,91163) = 8309872102 / 1
LCM(91154,91163) = 8309872102

Least Common Multiple (LCM) of 91154 and 91163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91154 and 91163. First we will calculate the prime factors of 91154 and 91163.

Prime Factorization of 91154

Prime factors of 91154 are 2, 7, 17, 383. Prime factorization of 91154 in exponential form is:

91154 = 21 × 71 × 171 × 3831

Prime Factorization of 91163

Prime factors of 91163 are 91163. Prime factorization of 91163 in exponential form is:

91163 = 911631

Now multiplying the highest exponent prime factors to calculate the LCM of 91154 and 91163.

LCM(91154,91163) = 21 × 71 × 171 × 3831 × 911631
LCM(91154,91163) = 8309872102