What is the Least Common Multiple of 24758 and 24774?

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 24758 and 24774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24758 and 24774, than apply into the LCM equation.

GCF(24758,24774) = 2
LCM(24758,24774) = ( 24758 × 24774) / 2
LCM(24758,24774) = 613354692 / 2
LCM(24758,24774) = 306677346

Least Common Multiple (LCM) of 24758 and 24774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24758 and 24774. First we will calculate the prime factors of 24758 and 24774.

Prime Factorization of 24758

Prime Factorization of 24774

Now multiplying the highest exponent prime factors to calculate the LCM of 24758 and 24774.

LCM(24758,24774) = 2¹ × 12379¹ × 3¹ × 4129¹
LCM(24758,24774) = 306677346