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What is the Least Common Multiple of 65649 and 65657?

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 65649 and 65657 is 4310316393.

LCM(65649,65657) = 4310316393

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Least Common Multiple of 65649 and 65657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65649 and 65657, than apply into the LCM equation.

GCF(65649,65657) = 1
LCM(65649,65657) = ( 65649 × 65657) / 1
LCM(65649,65657) = 4310316393 / 1
LCM(65649,65657) = 4310316393

Least Common Multiple (LCM) of 65649 and 65657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65649 and 65657. First we will calculate the prime factors of 65649 and 65657.

Prime Factorization of 65649

Prime factors of 65649 are 3, 79, 277. Prime factorization of 65649 in exponential form is:

65649 = 31 × 791 × 2771

Prime Factorization of 65657

Prime factors of 65657 are 65657. Prime factorization of 65657 in exponential form is:

65657 = 656571

Now multiplying the highest exponent prime factors to calculate the LCM of 65649 and 65657.

LCM(65649,65657) = 31 × 791 × 2771 × 656571
LCM(65649,65657) = 4310316393