What is the Least Common Multiple of 24630 and 24644?

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 24630 and 24644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24630 and 24644, than apply into the LCM equation.

GCF(24630,24644) = 2
LCM(24630,24644) = ( 24630 × 24644) / 2
LCM(24630,24644) = 606981720 / 2
LCM(24630,24644) = 303490860

Least Common Multiple (LCM) of 24630 and 24644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24630 and 24644. First we will calculate the prime factors of 24630 and 24644.

Prime Factorization of 24630

Prime Factorization of 24644

Now multiplying the highest exponent prime factors to calculate the LCM of 24630 and 24644.

LCM(24630,24644) = 2² × 3¹ × 5¹ × 821¹ × 61¹ × 101¹
LCM(24630,24644) = 303490860