What is the Least Common Multiple of 69468 and 69483?

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 69468 and 69483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69468 and 69483, than apply into the LCM equation.

GCF(69468,69483) = 3
LCM(69468,69483) = ( 69468 × 69483) / 3
LCM(69468,69483) = 4826845044 / 3
LCM(69468,69483) = 1608948348

Least Common Multiple (LCM) of 69468 and 69483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69468 and 69483. First we will calculate the prime factors of 69468 and 69483.

Prime Factorization of 69468

Prime Factorization of 69483

Now multiplying the highest exponent prime factors to calculate the LCM of 69468 and 69483.

LCM(69468,69483) = 2² × 3¹ × 7¹ × 827¹ × 19¹ × 23¹ × 53¹
LCM(69468,69483) = 1608948348