What is the Least Common Multiple of 24633 and 24637?

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 24633 and 24637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24633 and 24637, than apply into the LCM equation.

GCF(24633,24637) = 1
LCM(24633,24637) = ( 24633 × 24637) / 1
LCM(24633,24637) = 606883221 / 1
LCM(24633,24637) = 606883221

Least Common Multiple (LCM) of 24633 and 24637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24633 and 24637. First we will calculate the prime factors of 24633 and 24637.

Prime Factorization of 24633

Prime Factorization of 24637

Now multiplying the highest exponent prime factors to calculate the LCM of 24633 and 24637.

LCM(24633,24637) = 3² × 7¹ × 17¹ × 23¹ × 71¹ × 347¹
LCM(24633,24637) = 606883221