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What is the Least Common Multiple of 65657 and 65663?

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 65657 and 65663 is 4311235591.

LCM(65657,65663) = 4311235591

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Least Common Multiple of 65657 and 65663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65657 and 65663, than apply into the LCM equation.

GCF(65657,65663) = 1
LCM(65657,65663) = ( 65657 × 65663) / 1
LCM(65657,65663) = 4311235591 / 1
LCM(65657,65663) = 4311235591

Least Common Multiple (LCM) of 65657 and 65663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65657 and 65663. First we will calculate the prime factors of 65657 and 65663.

Prime Factorization of 65657

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

65657 = 656571

Prime Factorization of 65663

Prime factors of 65663 are 13, 5051. Prime factorization of 65663 in exponential form is:

65663 = 131 × 50511

Now multiplying the highest exponent prime factors to calculate the LCM of 65657 and 65663.

LCM(65657,65663) = 656571 × 131 × 50511
LCM(65657,65663) = 4311235591