What is the Least Common Multiple of 60624 and 60630?

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 60624 and 60630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60624 and 60630, than apply into the LCM equation.

GCF(60624,60630) = 6
LCM(60624,60630) = ( 60624 × 60630) / 6
LCM(60624,60630) = 3675633120 / 6
LCM(60624,60630) = 612605520

Least Common Multiple (LCM) of 60624 and 60630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60624 and 60630. First we will calculate the prime factors of 60624 and 60630.

Prime Factorization of 60624

Prime Factorization of 60630

Now multiplying the highest exponent prime factors to calculate the LCM of 60624 and 60630.

LCM(60624,60630) = 2⁴ × 3² × 421¹ × 5¹ × 43¹ × 47¹
LCM(60624,60630) = 612605520