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What is the Least Common Multiple of 62471 and 62481?

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 62471 and 62481 is 3903250551.

LCM(62471,62481) = 3903250551

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Least Common Multiple of 62471 and 62481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62471 and 62481, than apply into the LCM equation.

GCF(62471,62481) = 1
LCM(62471,62481) = ( 62471 × 62481) / 1
LCM(62471,62481) = 3903250551 / 1
LCM(62471,62481) = 3903250551

Least Common Multiple (LCM) of 62471 and 62481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62471 and 62481. First we will calculate the prime factors of 62471 and 62481.

Prime Factorization of 62471

Prime factors of 62471 are 179, 349. Prime factorization of 62471 in exponential form is:

62471 = 1791 × 3491

Prime Factorization of 62481

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

62481 = 31 × 591 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 62471 and 62481.

LCM(62471,62481) = 1791 × 3491 × 31 × 591 × 3531
LCM(62471,62481) = 3903250551