What is the Least Common Multiple of 24638 and 24656?

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 24638 and 24656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24638 and 24656, than apply into the LCM equation.

GCF(24638,24656) = 2
LCM(24638,24656) = ( 24638 × 24656) / 2
LCM(24638,24656) = 607474528 / 2
LCM(24638,24656) = 303737264

Least Common Multiple (LCM) of 24638 and 24656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24638 and 24656. First we will calculate the prime factors of 24638 and 24656.

Prime Factorization of 24638

Prime Factorization of 24656

Now multiplying the highest exponent prime factors to calculate the LCM of 24638 and 24656.

LCM(24638,24656) = 2⁴ × 97¹ × 127¹ × 23¹ × 67¹
LCM(24638,24656) = 303737264