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What is the Least Common Multiple of 62485 and 62497?

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 62485 and 62497 is 3905125045.

LCM(62485,62497) = 3905125045

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Least Common Multiple of 62485 and 62497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62485 and 62497, than apply into the LCM equation.

GCF(62485,62497) = 1
LCM(62485,62497) = ( 62485 × 62497) / 1
LCM(62485,62497) = 3905125045 / 1
LCM(62485,62497) = 3905125045

Least Common Multiple (LCM) of 62485 and 62497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62485 and 62497. First we will calculate the prime factors of 62485 and 62497.

Prime Factorization of 62485

Prime factors of 62485 are 5, 12497. Prime factorization of 62485 in exponential form is:

62485 = 51 × 124971

Prime Factorization of 62497

Prime factors of 62497 are 62497. Prime factorization of 62497 in exponential form is:

62497 = 624971

Now multiplying the highest exponent prime factors to calculate the LCM of 62485 and 62497.

LCM(62485,62497) = 51 × 124971 × 624971
LCM(62485,62497) = 3905125045