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What is the Least Common Multiple of 91609 and 91622?

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 91609 and 91622 is 8393399798.

LCM(91609,91622) = 8393399798

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Least Common Multiple of 91609 and 91622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91609 and 91622, than apply into the LCM equation.

GCF(91609,91622) = 1
LCM(91609,91622) = ( 91609 × 91622) / 1
LCM(91609,91622) = 8393399798 / 1
LCM(91609,91622) = 8393399798

Least Common Multiple (LCM) of 91609 and 91622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91609 and 91622. First we will calculate the prime factors of 91609 and 91622.

Prime Factorization of 91609

Prime factors of 91609 are 7, 23, 569. Prime factorization of 91609 in exponential form is:

91609 = 71 × 231 × 5691

Prime Factorization of 91622

Prime factors of 91622 are 2, 61, 751. Prime factorization of 91622 in exponential form is:

91622 = 21 × 611 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 91609 and 91622.

LCM(91609,91622) = 71 × 231 × 5691 × 21 × 611 × 7511
LCM(91609,91622) = 8393399798