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What is the Least Common Multiple of 91671 and 91685?

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 91671 and 91685 is 8404855635.

LCM(91671,91685) = 8404855635

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Least Common Multiple of 91671 and 91685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91671 and 91685, than apply into the LCM equation.

GCF(91671,91685) = 1
LCM(91671,91685) = ( 91671 × 91685) / 1
LCM(91671,91685) = 8404855635 / 1
LCM(91671,91685) = 8404855635

Least Common Multiple (LCM) of 91671 and 91685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91671 and 91685. First we will calculate the prime factors of 91671 and 91685.

Prime Factorization of 91671

Prime factors of 91671 are 3, 30557. Prime factorization of 91671 in exponential form is:

91671 = 31 × 305571

Prime Factorization of 91685

Prime factors of 91685 are 5, 11, 1667. Prime factorization of 91685 in exponential form is:

91685 = 51 × 111 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 91671 and 91685.

LCM(91671,91685) = 31 × 305571 × 51 × 111 × 16671
LCM(91671,91685) = 8404855635