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What is the Least Common Multiple of 91695 and 91699?

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 91695 and 91699 is 8408339805.

LCM(91695,91699) = 8408339805

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Least Common Multiple of 91695 and 91699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91695 and 91699, than apply into the LCM equation.

GCF(91695,91699) = 1
LCM(91695,91699) = ( 91695 × 91699) / 1
LCM(91695,91699) = 8408339805 / 1
LCM(91695,91699) = 8408339805

Least Common Multiple (LCM) of 91695 and 91699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91695 and 91699. First we will calculate the prime factors of 91695 and 91699.

Prime Factorization of 91695

Prime factors of 91695 are 3, 5, 6113. Prime factorization of 91695 in exponential form is:

91695 = 31 × 51 × 61131

Prime Factorization of 91699

Prime factors of 91699 are 107, 857. Prime factorization of 91699 in exponential form is:

91699 = 1071 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 91695 and 91699.

LCM(91695,91699) = 31 × 51 × 61131 × 1071 × 8571
LCM(91695,91699) = 8408339805