What is the Least Common Multiple of 69123 and 69138?

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 69123 and 69138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69123 and 69138, than apply into the LCM equation.

GCF(69123,69138) = 3
LCM(69123,69138) = ( 69123 × 69138) / 3
LCM(69123,69138) = 4779025974 / 3
LCM(69123,69138) = 1593008658

Least Common Multiple (LCM) of 69123 and 69138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69123 and 69138. First we will calculate the prime factors of 69123 and 69138.

Prime Factorization of 69123

Prime Factorization of 69138

Now multiplying the highest exponent prime factors to calculate the LCM of 69123 and 69138.

LCM(69123,69138) = 3² × 23041¹ × 2¹ × 23¹ × 167¹
LCM(69123,69138) = 1593008658