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What is the Least Common Multiple of 91340 and 91345?

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 91340 and 91345 is 1668690460.

LCM(91340,91345) = 1668690460

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Least Common Multiple of 91340 and 91345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91340 and 91345, than apply into the LCM equation.

GCF(91340,91345) = 5
LCM(91340,91345) = ( 91340 × 91345) / 5
LCM(91340,91345) = 8343452300 / 5
LCM(91340,91345) = 1668690460

Least Common Multiple (LCM) of 91340 and 91345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91340 and 91345. First we will calculate the prime factors of 91340 and 91345.

Prime Factorization of 91340

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

91340 = 22 × 51 × 45671

Prime Factorization of 91345

Prime factors of 91345 are 5, 18269. Prime factorization of 91345 in exponential form is:

91345 = 51 × 182691

Now multiplying the highest exponent prime factors to calculate the LCM of 91340 and 91345.

LCM(91340,91345) = 22 × 51 × 45671 × 182691
LCM(91340,91345) = 1668690460