What is the Least Common Multiple of 69138 and 69153?

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 69138 and 69153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69138 and 69153, than apply into the LCM equation.

GCF(69138,69153) = 3
LCM(69138,69153) = ( 69138 × 69153) / 3
LCM(69138,69153) = 4781100114 / 3
LCM(69138,69153) = 1593700038

Least Common Multiple (LCM) of 69138 and 69153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69138 and 69153. First we will calculate the prime factors of 69138 and 69153.

Prime Factorization of 69138

Prime Factorization of 69153

Now multiplying the highest exponent prime factors to calculate the LCM of 69138 and 69153.

LCM(69138,69153) = 2¹ × 3² × 23¹ × 167¹ × 7¹ × 37¹ × 89¹
LCM(69138,69153) = 1593700038