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What is the Least Common Multiple of 91668 and 91678?

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 91678 is 4201969452.

LCM(91668,91678) = 4201969452

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Least Common Multiple of 91668 and 91678 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 91678, than apply into the LCM equation.

GCF(91668,91678) = 2
LCM(91668,91678) = ( 91668 × 91678) / 2
LCM(91668,91678) = 8403938904 / 2
LCM(91668,91678) = 4201969452

Least Common Multiple (LCM) of 91668 and 91678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91668 and 91678. First we will calculate the prime factors of 91668 and 91678.

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 91678

Prime factors of 91678 are 2, 23, 1993. Prime factorization of 91678 in exponential form is:

91678 = 21 × 231 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 91668 and 91678.

LCM(91668,91678) = 22 × 31 × 76391 × 231 × 19931
LCM(91668,91678) = 4201969452