What is the Least Common Multiple of 6030 and 6042?

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 6030 and 6042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6030 and 6042, than apply into the LCM equation.

GCF(6030,6042) = 6
LCM(6030,6042) = ( 6030 × 6042) / 6
LCM(6030,6042) = 36433260 / 6
LCM(6030,6042) = 6072210

Least Common Multiple (LCM) of 6030 and 6042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6030 and 6042. First we will calculate the prime factors of 6030 and 6042.

Prime Factorization of 6030

Prime Factorization of 6042

Now multiplying the highest exponent prime factors to calculate the LCM of 6030 and 6042.

LCM(6030,6042) = 2¹ × 3² × 5¹ × 67¹ × 19¹ × 53¹
LCM(6030,6042) = 6072210