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What is the Least Common Multiple of 62486 and 62506?

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 62486 and 62506 is 1952874958.

LCM(62486,62506) = 1952874958

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Least Common Multiple of 62486 and 62506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62486 and 62506, than apply into the LCM equation.

GCF(62486,62506) = 2
LCM(62486,62506) = ( 62486 × 62506) / 2
LCM(62486,62506) = 3905749916 / 2
LCM(62486,62506) = 1952874958

Least Common Multiple (LCM) of 62486 and 62506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62486 and 62506. First we will calculate the prime factors of 62486 and 62506.

Prime Factorization of 62486

Prime factors of 62486 are 2, 157, 199. Prime factorization of 62486 in exponential form is:

62486 = 21 × 1571 × 1991

Prime Factorization of 62506

Prime factors of 62506 are 2, 31253. Prime factorization of 62506 in exponential form is:

62506 = 21 × 312531

Now multiplying the highest exponent prime factors to calculate the LCM of 62486 and 62506.

LCM(62486,62506) = 21 × 1571 × 1991 × 312531
LCM(62486,62506) = 1952874958