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What is the Least Common Multiple of 62481 and 62485?

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 62481 and 62485 is 3904125285.

LCM(62481,62485) = 3904125285

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Least Common Multiple of 62481 and 62485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62481 and 62485, than apply into the LCM equation.

GCF(62481,62485) = 1
LCM(62481,62485) = ( 62481 × 62485) / 1
LCM(62481,62485) = 3904125285 / 1
LCM(62481,62485) = 3904125285

Least Common Multiple (LCM) of 62481 and 62485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62481 and 62485. First we will calculate the prime factors of 62481 and 62485.

Prime Factorization of 62481

Prime factors of 62481 are 3, 59, 353. Prime factorization of 62481 in exponential form is:

62481 = 31 × 591 × 3531

Prime Factorization of 62485

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

62485 = 51 × 124971

Now multiplying the highest exponent prime factors to calculate the LCM of 62481 and 62485.

LCM(62481,62485) = 31 × 591 × 3531 × 51 × 124971
LCM(62481,62485) = 3904125285