What is the Least Common Multiple of 24752 and 24768?

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 24752 and 24768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24752 and 24768, than apply into the LCM equation.

GCF(24752,24768) = 16
LCM(24752,24768) = ( 24752 × 24768) / 16
LCM(24752,24768) = 613057536 / 16
LCM(24752,24768) = 38316096

Least Common Multiple (LCM) of 24752 and 24768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24752 and 24768. First we will calculate the prime factors of 24752 and 24768.

Prime Factorization of 24752

Prime Factorization of 24768

Now multiplying the highest exponent prime factors to calculate the LCM of 24752 and 24768.

LCM(24752,24768) = 2⁶ × 7¹ × 13¹ × 17¹ × 3² × 43¹
LCM(24752,24768) = 38316096