What is the Least Common Multiple of 24789 and 24798?

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 24789 and 24798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24789 and 24798, than apply into the LCM equation.

GCF(24789,24798) = 3
LCM(24789,24798) = ( 24789 × 24798) / 3
LCM(24789,24798) = 614717622 / 3
LCM(24789,24798) = 204905874

Least Common Multiple (LCM) of 24789 and 24798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24789 and 24798. First we will calculate the prime factors of 24789 and 24798.

Prime Factorization of 24789

Prime Factorization of 24798

Now multiplying the highest exponent prime factors to calculate the LCM of 24789 and 24798.

LCM(24789,24798) = 3¹ × 8263¹ × 2¹ × 4133¹
LCM(24789,24798) = 204905874