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What is the Least Common Multiple of 91467 and 91478?

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 91467 and 91478 is 8367218226.

LCM(91467,91478) = 8367218226

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Least Common Multiple of 91467 and 91478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91467 and 91478, than apply into the LCM equation.

GCF(91467,91478) = 1
LCM(91467,91478) = ( 91467 × 91478) / 1
LCM(91467,91478) = 8367218226 / 1
LCM(91467,91478) = 8367218226

Least Common Multiple (LCM) of 91467 and 91478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91467 and 91478. First we will calculate the prime factors of 91467 and 91478.

Prime Factorization of 91467

Prime factors of 91467 are 3, 10163. Prime factorization of 91467 in exponential form is:

91467 = 32 × 101631

Prime Factorization of 91478

Prime factors of 91478 are 2, 53, 863. Prime factorization of 91478 in exponential form is:

91478 = 21 × 531 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 91467 and 91478.

LCM(91467,91478) = 32 × 101631 × 21 × 531 × 8631
LCM(91467,91478) = 8367218226