What is the Least Common Multiple of 60630 and 60645?

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 60630 and 60645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60630 and 60645, than apply into the LCM equation.

GCF(60630,60645) = 15
LCM(60630,60645) = ( 60630 × 60645) / 15
LCM(60630,60645) = 3676906350 / 15
LCM(60630,60645) = 245127090

Least Common Multiple (LCM) of 60630 and 60645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60630 and 60645. First we will calculate the prime factors of 60630 and 60645.

Prime Factorization of 60630

Prime Factorization of 60645

Now multiplying the highest exponent prime factors to calculate the LCM of 60630 and 60645.

LCM(60630,60645) = 2¹ × 3¹ × 5¹ × 43¹ × 47¹ × 13¹ × 311¹
LCM(60630,60645) = 245127090