What is the Least Common Multiple of 15633 and 15639?

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 15633 and 15639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15633 and 15639, than apply into the LCM equation.

GCF(15633,15639) = 3
LCM(15633,15639) = ( 15633 × 15639) / 3
LCM(15633,15639) = 244484487 / 3
LCM(15633,15639) = 81494829

Least Common Multiple (LCM) of 15633 and 15639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15633 and 15639. First we will calculate the prime factors of 15633 and 15639.

Prime Factorization of 15633

Prime Factorization of 15639

Now multiplying the highest exponent prime factors to calculate the LCM of 15633 and 15639.

LCM(15633,15639) = 3⁴ × 193¹ × 13¹ × 401¹
LCM(15633,15639) = 81494829