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What is the Least Common Multiple of 91329 and 91348?

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 91329 and 91348 is 8342721492.

LCM(91329,91348) = 8342721492

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Least Common Multiple of 91329 and 91348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91329 and 91348, than apply into the LCM equation.

GCF(91329,91348) = 1
LCM(91329,91348) = ( 91329 × 91348) / 1
LCM(91329,91348) = 8342721492 / 1
LCM(91329,91348) = 8342721492

Least Common Multiple (LCM) of 91329 and 91348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91329 and 91348. First we will calculate the prime factors of 91329 and 91348.

Prime Factorization of 91329

Prime factors of 91329 are 3, 7, 4349. Prime factorization of 91329 in exponential form is:

91329 = 31 × 71 × 43491

Prime Factorization of 91348

Prime factors of 91348 are 2, 41, 557. Prime factorization of 91348 in exponential form is:

91348 = 22 × 411 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 91329 and 91348.

LCM(91329,91348) = 31 × 71 × 43491 × 22 × 411 × 5571
LCM(91329,91348) = 8342721492