What is the Least Common Multiple of 93633 and 93639?

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 93633 and 93639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93633 and 93639, than apply into the LCM equation.

GCF(93633,93639) = 3
LCM(93633,93639) = ( 93633 × 93639) / 3
LCM(93633,93639) = 8767700487 / 3
LCM(93633,93639) = 2922566829

Least Common Multiple (LCM) of 93633 and 93639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93633 and 93639. First we will calculate the prime factors of 93633 and 93639.

Prime Factorization of 93633

Prime Factorization of 93639

Now multiplying the highest exponent prime factors to calculate the LCM of 93633 and 93639.

LCM(93633,93639) = 3¹ × 23² × 59¹ × 7⁴ × 13¹
LCM(93633,93639) = 2922566829