What is the Least Common Multiple of 60030 and 60045?

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 60030 and 60045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60030 and 60045, than apply into the LCM equation.

GCF(60030,60045) = 15
LCM(60030,60045) = ( 60030 × 60045) / 15
LCM(60030,60045) = 3604501350 / 15
LCM(60030,60045) = 240300090

Least Common Multiple (LCM) of 60030 and 60045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60030 and 60045. First we will calculate the prime factors of 60030 and 60045.

Prime Factorization of 60030

Prime Factorization of 60045

Now multiplying the highest exponent prime factors to calculate the LCM of 60030 and 60045.

LCM(60030,60045) = 2¹ × 3² × 5¹ × 23¹ × 29¹ × 4003¹
LCM(60030,60045) = 240300090