What is the Least Common Multiple of 60090 and 60102?

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 60090 and 60102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60090 and 60102, than apply into the LCM equation.

GCF(60090,60102) = 6
LCM(60090,60102) = ( 60090 × 60102) / 6
LCM(60090,60102) = 3611529180 / 6
LCM(60090,60102) = 601921530

Least Common Multiple (LCM) of 60090 and 60102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60090 and 60102. First we will calculate the prime factors of 60090 and 60102.

Prime Factorization of 60090

Prime Factorization of 60102

Now multiplying the highest exponent prime factors to calculate the LCM of 60090 and 60102.

LCM(60090,60102) = 2¹ × 3⁴ × 5¹ × 2003¹ × 7¹ × 53¹
LCM(60090,60102) = 601921530