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What is the Least Common Multiple of 91608 and 91614?

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 91608 and 91614 is 1398762552.

LCM(91608,91614) = 1398762552

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Least Common Multiple of 91608 and 91614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91608 and 91614, than apply into the LCM equation.

GCF(91608,91614) = 6
LCM(91608,91614) = ( 91608 × 91614) / 6
LCM(91608,91614) = 8392575312 / 6
LCM(91608,91614) = 1398762552

Least Common Multiple (LCM) of 91608 and 91614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91608 and 91614. First we will calculate the prime factors of 91608 and 91614.

Prime Factorization of 91608

Prime factors of 91608 are 2, 3, 11, 347. Prime factorization of 91608 in exponential form is:

91608 = 23 × 31 × 111 × 3471

Prime Factorization of 91614

Prime factors of 91614 are 2, 3, 15269. Prime factorization of 91614 in exponential form is:

91614 = 21 × 31 × 152691

Now multiplying the highest exponent prime factors to calculate the LCM of 91608 and 91614.

LCM(91608,91614) = 23 × 31 × 111 × 3471 × 152691
LCM(91608,91614) = 1398762552