What is the Least Common Multiple of 62508 and 62517?

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 62508 and 62517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62508 and 62517, than apply into the LCM equation.

GCF(62508,62517) = 3
LCM(62508,62517) = ( 62508 × 62517) / 3
LCM(62508,62517) = 3907812636 / 3
LCM(62508,62517) = 1302604212

Least Common Multiple (LCM) of 62508 and 62517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62508 and 62517. First we will calculate the prime factors of 62508 and 62517.

Prime Factorization of 62508

Prime Factorization of 62517

Now multiplying the highest exponent prime factors to calculate the LCM of 62508 and 62517.

LCM(62508,62517) = 2² × 3¹ × 5209¹ × 7¹ × 13¹ × 229¹
LCM(62508,62517) = 1302604212