What is the Least Common Multiple of 24822 and 24832?

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 24822 and 24832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24822 and 24832, than apply into the LCM equation.

GCF(24822,24832) = 2
LCM(24822,24832) = ( 24822 × 24832) / 2
LCM(24822,24832) = 616379904 / 2
LCM(24822,24832) = 308189952

Least Common Multiple (LCM) of 24822 and 24832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24822 and 24832. First we will calculate the prime factors of 24822 and 24832.

Prime Factorization of 24822

Prime Factorization of 24832

Now multiplying the highest exponent prime factors to calculate the LCM of 24822 and 24832.

LCM(24822,24832) = 2⁸ × 3² × 7¹ × 197¹ × 97¹
LCM(24822,24832) = 308189952