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What is the Least Common Multiple of 91323 and 91340?

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 91323 and 91340 is 8341442820.

LCM(91323,91340) = 8341442820

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Least Common Multiple of 91323 and 91340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91323 and 91340, than apply into the LCM equation.

GCF(91323,91340) = 1
LCM(91323,91340) = ( 91323 × 91340) / 1
LCM(91323,91340) = 8341442820 / 1
LCM(91323,91340) = 8341442820

Least Common Multiple (LCM) of 91323 and 91340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91323 and 91340. First we will calculate the prime factors of 91323 and 91340.

Prime Factorization of 91323

Prime factors of 91323 are 3, 73, 139. Prime factorization of 91323 in exponential form is:

91323 = 32 × 731 × 1391

Prime Factorization of 91340

Prime factors of 91340 are 2, 5, 4567. Prime factorization of 91340 in exponential form is:

91340 = 22 × 51 × 45671

Now multiplying the highest exponent prime factors to calculate the LCM of 91323 and 91340.

LCM(91323,91340) = 32 × 731 × 1391 × 22 × 51 × 45671
LCM(91323,91340) = 8341442820