What is the Least Common Multiple of 24616 and 24633?

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 24616 and 24633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24616 and 24633, than apply into the LCM equation.

GCF(24616,24633) = 17
LCM(24616,24633) = ( 24616 × 24633) / 17
LCM(24616,24633) = 606365928 / 17
LCM(24616,24633) = 35668584

Least Common Multiple (LCM) of 24616 and 24633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24616 and 24633. First we will calculate the prime factors of 24616 and 24633.

Prime Factorization of 24616

Prime Factorization of 24633

Now multiplying the highest exponent prime factors to calculate the LCM of 24616 and 24633.

LCM(24616,24633) = 2³ × 17¹ × 181¹ × 3² × 7¹ × 23¹
LCM(24616,24633) = 35668584