What is the Least Common Multiple of 62503 and 62521?

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 62503 and 62521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62503 and 62521, than apply into the LCM equation.

GCF(62503,62521) = 1
LCM(62503,62521) = ( 62503 × 62521) / 1
LCM(62503,62521) = 3907750063 / 1
LCM(62503,62521) = 3907750063

Least Common Multiple (LCM) of 62503 and 62521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62503 and 62521. First we will calculate the prime factors of 62503 and 62521.

Prime Factorization of 62503

Prime Factorization of 62521

Now multiplying the highest exponent prime factors to calculate the LCM of 62503 and 62521.

LCM(62503,62521) = 7¹ × 8929¹ × 103¹ × 607¹
LCM(62503,62521) = 3907750063