What is the Least Common Multiple of 30210 and 30215?

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 30210 and 30215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30210 and 30215, than apply into the LCM equation.

GCF(30210,30215) = 5
LCM(30210,30215) = ( 30210 × 30215) / 5
LCM(30210,30215) = 912795150 / 5
LCM(30210,30215) = 182559030

Least Common Multiple (LCM) of 30210 and 30215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30210 and 30215. First we will calculate the prime factors of 30210 and 30215.

Prime Factorization of 30210

Prime Factorization of 30215

Now multiplying the highest exponent prime factors to calculate the LCM of 30210 and 30215.

LCM(30210,30215) = 2¹ × 3¹ × 5¹ × 19¹ × 53¹ × 6043¹
LCM(30210,30215) = 182559030