What is the Least Common Multiple of 24633 and 24642?

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 24642 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 24642, than apply into the LCM equation.

GCF(24633,24642) = 9
LCM(24633,24642) = ( 24633 × 24642) / 9
LCM(24633,24642) = 607006386 / 9
LCM(24633,24642) = 67445154

Least Common Multiple (LCM) of 24633 and 24642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24633 and 24642. First we will calculate the prime factors of 24633 and 24642.

Prime Factorization of 24633

Prime Factorization of 24642

Now multiplying the highest exponent prime factors to calculate the LCM of 24633 and 24642.

LCM(24633,24642) = 3² × 7¹ × 17¹ × 23¹ × 2¹ × 37²
LCM(24633,24642) = 67445154