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What is the Least Common Multiple of 91380 and 91395?

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 91380 and 91395 is 556778340.

LCM(91380,91395) = 556778340

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Least Common Multiple of 91380 and 91395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91380 and 91395, than apply into the LCM equation.

GCF(91380,91395) = 15
LCM(91380,91395) = ( 91380 × 91395) / 15
LCM(91380,91395) = 8351675100 / 15
LCM(91380,91395) = 556778340

Least Common Multiple (LCM) of 91380 and 91395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91380 and 91395. First we will calculate the prime factors of 91380 and 91395.

Prime Factorization of 91380

Prime factors of 91380 are 2, 3, 5, 1523. Prime factorization of 91380 in exponential form is:

91380 = 22 × 31 × 51 × 15231

Prime Factorization of 91395

Prime factors of 91395 are 3, 5, 677. Prime factorization of 91395 in exponential form is:

91395 = 33 × 51 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 91380 and 91395.

LCM(91380,91395) = 22 × 33 × 51 × 15231 × 6771
LCM(91380,91395) = 556778340