What is the Least Common Multiple of 62504 and 62515?

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 62504 and 62515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62504 and 62515, than apply into the LCM equation.

GCF(62504,62515) = 1
LCM(62504,62515) = ( 62504 × 62515) / 1
LCM(62504,62515) = 3907437560 / 1
LCM(62504,62515) = 3907437560

Least Common Multiple (LCM) of 62504 and 62515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62504 and 62515. First we will calculate the prime factors of 62504 and 62515.

Prime Factorization of 62504

Prime Factorization of 62515

Now multiplying the highest exponent prime factors to calculate the LCM of 62504 and 62515.

LCM(62504,62515) = 2³ × 13¹ × 601¹ × 5¹ × 12503¹
LCM(62504,62515) = 3907437560