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What is the Least Common Multiple of 91516 and 91533?

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 91516 and 91533 is 8376734028.

LCM(91516,91533) = 8376734028

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Least Common Multiple of 91516 and 91533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91516 and 91533, than apply into the LCM equation.

GCF(91516,91533) = 1
LCM(91516,91533) = ( 91516 × 91533) / 1
LCM(91516,91533) = 8376734028 / 1
LCM(91516,91533) = 8376734028

Least Common Multiple (LCM) of 91516 and 91533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91516 and 91533. First we will calculate the prime factors of 91516 and 91533.

Prime Factorization of 91516

Prime factors of 91516 are 2, 137, 167. Prime factorization of 91516 in exponential form is:

91516 = 22 × 1371 × 1671

Prime Factorization of 91533

Prime factors of 91533 are 3, 13, 2347. Prime factorization of 91533 in exponential form is:

91533 = 31 × 131 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 91516 and 91533.

LCM(91516,91533) = 22 × 1371 × 1671 × 31 × 131 × 23471
LCM(91516,91533) = 8376734028