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What is the Least Common Multiple of 65481 and 65493?

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 65481 and 65493 is 1429515711.

LCM(65481,65493) = 1429515711

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Least Common Multiple of 65481 and 65493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65481 and 65493, than apply into the LCM equation.

GCF(65481,65493) = 3
LCM(65481,65493) = ( 65481 × 65493) / 3
LCM(65481,65493) = 4288547133 / 3
LCM(65481,65493) = 1429515711

Least Common Multiple (LCM) of 65481 and 65493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65481 and 65493. First we will calculate the prime factors of 65481 and 65493.

Prime Factorization of 65481

Prime factors of 65481 are 3, 13, 23, 73. Prime factorization of 65481 in exponential form is:

65481 = 31 × 131 × 231 × 731

Prime Factorization of 65493

Prime factors of 65493 are 3, 19, 383. Prime factorization of 65493 in exponential form is:

65493 = 32 × 191 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 65481 and 65493.

LCM(65481,65493) = 32 × 131 × 231 × 731 × 191 × 3831
LCM(65481,65493) = 1429515711