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What is the Least Common Multiple of 60497 and 60506?

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 60497 and 60506 is 3660431482.

LCM(60497,60506) = 3660431482

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Least Common Multiple of 60497 and 60506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60497 and 60506, than apply into the LCM equation.

GCF(60497,60506) = 1
LCM(60497,60506) = ( 60497 × 60506) / 1
LCM(60497,60506) = 3660431482 / 1
LCM(60497,60506) = 3660431482

Least Common Multiple (LCM) of 60497 and 60506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60497 and 60506. First we will calculate the prime factors of 60497 and 60506.

Prime Factorization of 60497

Prime factors of 60497 are 60497. Prime factorization of 60497 in exponential form is:

60497 = 604971

Prime Factorization of 60506

Prime factors of 60506 are 2, 30253. Prime factorization of 60506 in exponential form is:

60506 = 21 × 302531

Now multiplying the highest exponent prime factors to calculate the LCM of 60497 and 60506.

LCM(60497,60506) = 604971 × 21 × 302531
LCM(60497,60506) = 3660431482