What is the Least Common Multiple of 23632 and 23638?

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 23632 and 23638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23632 and 23638, than apply into the LCM equation.

GCF(23632,23638) = 2
LCM(23632,23638) = ( 23632 × 23638) / 2
LCM(23632,23638) = 558613216 / 2
LCM(23632,23638) = 279306608

Least Common Multiple (LCM) of 23632 and 23638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23632 and 23638. First we will calculate the prime factors of 23632 and 23638.

Prime Factorization of 23632

Prime Factorization of 23638

Now multiplying the highest exponent prime factors to calculate the LCM of 23632 and 23638.

LCM(23632,23638) = 2⁴ × 7¹ × 211¹ × 53¹ × 223¹
LCM(23632,23638) = 279306608