What is the Least Common Multiple of 24804 and 24822?

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 24804 and 24822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24804 and 24822, than apply into the LCM equation.

GCF(24804,24822) = 18
LCM(24804,24822) = ( 24804 × 24822) / 18
LCM(24804,24822) = 615684888 / 18
LCM(24804,24822) = 34204716

Least Common Multiple (LCM) of 24804 and 24822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24804 and 24822. First we will calculate the prime factors of 24804 and 24822.

Prime Factorization of 24804

Prime Factorization of 24822

Now multiplying the highest exponent prime factors to calculate the LCM of 24804 and 24822.

LCM(24804,24822) = 2² × 3² × 13¹ × 53¹ × 7¹ × 197¹
LCM(24804,24822) = 34204716