What is the Least Common Multiple of 62310 and 62330?

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 62310 and 62330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62310 and 62330, than apply into the LCM equation.

GCF(62310,62330) = 10
LCM(62310,62330) = ( 62310 × 62330) / 10
LCM(62310,62330) = 3883782300 / 10
LCM(62310,62330) = 388378230

Least Common Multiple (LCM) of 62310 and 62330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62310 and 62330. First we will calculate the prime factors of 62310 and 62330.

Prime Factorization of 62310

Prime Factorization of 62330

Now multiplying the highest exponent prime factors to calculate the LCM of 62310 and 62330.

LCM(62310,62330) = 2¹ × 3¹ × 5¹ × 31¹ × 67¹ × 23¹ × 271¹
LCM(62310,62330) = 388378230