What is the Least Common Multiple of 62517 and 62537?

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 of 62517 and 62537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62517 and 62537, than apply into the LCM equation.

GCF(62517,62537) = 1
LCM(62517,62537) = ( 62517 × 62537) / 1
LCM(62517,62537) = 3909625629 / 1
LCM(62517,62537) = 3909625629

Least Common Multiple (LCM) of 62517 and 62537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62517 and 62537. First we will calculate the prime factors of 62517 and 62537.

Prime Factorization of 62517

Prime Factorization of 62537

Now multiplying the highest exponent prime factors to calculate the LCM of 62517 and 62537.

LCM(62517,62537) = 3¹ × 7¹ × 13¹ × 229¹ × 23¹ × 2719¹
LCM(62517,62537) = 3909625629