What is the Least Common Multiple of 69633 and 69639?

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 69633 and 69639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69633 and 69639, than apply into the LCM equation.

GCF(69633,69639) = 3
LCM(69633,69639) = ( 69633 × 69639) / 3
LCM(69633,69639) = 4849172487 / 3
LCM(69633,69639) = 1616390829

Least Common Multiple (LCM) of 69633 and 69639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69633 and 69639. First we will calculate the prime factors of 69633 and 69639.

Prime Factorization of 69633

Prime Factorization of 69639

Now multiplying the highest exponent prime factors to calculate the LCM of 69633 and 69639.

LCM(69633,69639) = 3³ × 2579¹ × 139¹ × 167¹
LCM(69633,69639) = 1616390829