What is the Least Common Multiple of 63030 and 63036?

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 63030 and 63036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63030 and 63036, than apply into the LCM equation.

GCF(63030,63036) = 6
LCM(63030,63036) = ( 63030 × 63036) / 6
LCM(63030,63036) = 3973159080 / 6
LCM(63030,63036) = 662193180

Least Common Multiple (LCM) of 63030 and 63036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63030 and 63036. First we will calculate the prime factors of 63030 and 63036.

Prime Factorization of 63030

Prime Factorization of 63036

Now multiplying the highest exponent prime factors to calculate the LCM of 63030 and 63036.

LCM(63030,63036) = 2² × 3² × 5¹ × 11¹ × 191¹ × 17¹ × 103¹
LCM(63030,63036) = 662193180