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What is the Least Common Multiple of 91340 and 91347?

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 91347 is 8343634980.

LCM(91340,91347) = 8343634980

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Least Common Multiple of 91340 and 91347 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 91347, than apply into the LCM equation.

GCF(91340,91347) = 1
LCM(91340,91347) = ( 91340 × 91347) / 1
LCM(91340,91347) = 8343634980 / 1
LCM(91340,91347) = 8343634980

Least Common Multiple (LCM) of 91340 and 91347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91340 and 91347. First we will calculate the prime factors of 91340 and 91347.

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 91347

Prime factors of 91347 are 3, 30449. Prime factorization of 91347 in exponential form is:

91347 = 31 × 304491

Now multiplying the highest exponent prime factors to calculate the LCM of 91340 and 91347.

LCM(91340,91347) = 22 × 51 × 45671 × 31 × 304491
LCM(91340,91347) = 8343634980