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What is the Least Common Multiple of 91668 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 91668 and 91685 is 8404580580.

LCM(91668,91685) = 8404580580

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Least Common Multiple of 91668 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 91668 and 91685, than apply into the LCM equation.

GCF(91668,91685) = 1
LCM(91668,91685) = ( 91668 × 91685) / 1
LCM(91668,91685) = 8404580580 / 1
LCM(91668,91685) = 8404580580

Least Common Multiple (LCM) of 91668 and 91685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91668 and 91685. First we will calculate the prime factors of 91668 and 91685.

Prime Factorization of 91668

Prime factors of 91668 are 2, 3, 7639. Prime factorization of 91668 in exponential form is:

91668 = 22 × 31 × 76391

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 91668 and 91685.

LCM(91668,91685) = 22 × 31 × 76391 × 51 × 111 × 16671
LCM(91668,91685) = 8404580580