What is the Least Common Multiple of 24768 and 24772?

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 24768 and 24772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24768 and 24772, than apply into the LCM equation.

GCF(24768,24772) = 4
LCM(24768,24772) = ( 24768 × 24772) / 4
LCM(24768,24772) = 613552896 / 4
LCM(24768,24772) = 153388224

Least Common Multiple (LCM) of 24768 and 24772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24768 and 24772. First we will calculate the prime factors of 24768 and 24772.

Prime Factorization of 24768

Prime Factorization of 24772

Now multiplying the highest exponent prime factors to calculate the LCM of 24768 and 24772.

LCM(24768,24772) = 2⁶ × 3² × 43¹ × 11¹ × 563¹
LCM(24768,24772) = 153388224