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What is the Least Common Multiple of 91480 and 91495?

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 91480 and 91495 is 1673992520.

LCM(91480,91495) = 1673992520

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Least Common Multiple of 91480 and 91495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91480 and 91495, than apply into the LCM equation.

GCF(91480,91495) = 5
LCM(91480,91495) = ( 91480 × 91495) / 5
LCM(91480,91495) = 8369962600 / 5
LCM(91480,91495) = 1673992520

Least Common Multiple (LCM) of 91480 and 91495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91480 and 91495. First we will calculate the prime factors of 91480 and 91495.

Prime Factorization of 91480

Prime factors of 91480 are 2, 5, 2287. Prime factorization of 91480 in exponential form is:

91480 = 23 × 51 × 22871

Prime Factorization of 91495

Prime factors of 91495 are 5, 29, 631. Prime factorization of 91495 in exponential form is:

91495 = 51 × 291 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 91480 and 91495.

LCM(91480,91495) = 23 × 51 × 22871 × 291 × 6311
LCM(91480,91495) = 1673992520