What is the Least Common Multiple of 27633 and 27639?

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 27633 and 27639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27633 and 27639, than apply into the LCM equation.

GCF(27633,27639) = 3
LCM(27633,27639) = ( 27633 × 27639) / 3
LCM(27633,27639) = 763748487 / 3
LCM(27633,27639) = 254582829

Least Common Multiple (LCM) of 27633 and 27639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27633 and 27639. First we will calculate the prime factors of 27633 and 27639.

Prime Factorization of 27633

Prime Factorization of 27639

Now multiplying the highest exponent prime factors to calculate the LCM of 27633 and 27639.

LCM(27633,27639) = 3² × 61¹ × 151¹ × 37¹ × 83¹
LCM(27633,27639) = 254582829