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What is the Least Common Multiple of 65649 and 65658?

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 65658 is 1436794014.

LCM(65649,65658) = 1436794014

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Least Common Multiple of 65649 and 65658 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 65658, than apply into the LCM equation.

GCF(65649,65658) = 3
LCM(65649,65658) = ( 65649 × 65658) / 3
LCM(65649,65658) = 4310382042 / 3
LCM(65649,65658) = 1436794014

Least Common Multiple (LCM) of 65649 and 65658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65649 and 65658. First we will calculate the prime factors of 65649 and 65658.

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 65658

Prime factors of 65658 are 2, 3, 31, 353. Prime factorization of 65658 in exponential form is:

65658 = 21 × 31 × 311 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 65649 and 65658.

LCM(65649,65658) = 31 × 791 × 2771 × 21 × 311 × 3531
LCM(65649,65658) = 1436794014