What is the Least Common Multiple of 24608 and 24619?

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 24608 and 24619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24608 and 24619, than apply into the LCM equation.

GCF(24608,24619) = 1
LCM(24608,24619) = ( 24608 × 24619) / 1
LCM(24608,24619) = 605824352 / 1
LCM(24608,24619) = 605824352

Least Common Multiple (LCM) of 24608 and 24619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24608 and 24619. First we will calculate the prime factors of 24608 and 24619.

Prime Factorization of 24608

Prime Factorization of 24619

Now multiplying the highest exponent prime factors to calculate the LCM of 24608 and 24619.

LCM(24608,24619) = 2⁵ × 769¹ × 7¹ × 3517¹
LCM(24608,24619) = 605824352