What is the Least Common Multiple of 69891 and 69900?

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 69891 and 69900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69891 and 69900, than apply into the LCM equation.

GCF(69891,69900) = 3
LCM(69891,69900) = ( 69891 × 69900) / 3
LCM(69891,69900) = 4885380900 / 3
LCM(69891,69900) = 1628460300

Least Common Multiple (LCM) of 69891 and 69900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69891 and 69900. First we will calculate the prime factors of 69891 and 69900.

Prime Factorization of 69891

Prime Factorization of 69900

Now multiplying the highest exponent prime factors to calculate the LCM of 69891 and 69900.

LCM(69891,69900) = 3¹ × 23297¹ × 2² × 5² × 233¹
LCM(69891,69900) = 1628460300