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What is the Least Common Multiple of 62485 and 62495?

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 62495 is 781000015.

LCM(62485,62495) = 781000015

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Least Common Multiple of 62485 and 62495 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 62495, than apply into the LCM equation.

GCF(62485,62495) = 5
LCM(62485,62495) = ( 62485 × 62495) / 5
LCM(62485,62495) = 3905000075 / 5
LCM(62485,62495) = 781000015

Least Common Multiple (LCM) of 62485 and 62495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62485 and 62495. First we will calculate the prime factors of 62485 and 62495.

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 62495

Prime factors of 62495 are 5, 29, 431. Prime factorization of 62495 in exponential form is:

62495 = 51 × 291 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 62485 and 62495.

LCM(62485,62495) = 51 × 124971 × 291 × 4311
LCM(62485,62495) = 781000015