What is the Least Common Multiple of 69138 and 69146?

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 69146 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 69146, than apply into the LCM equation.

GCF(69138,69146) = 2
LCM(69138,69146) = ( 69138 × 69146) / 2
LCM(69138,69146) = 4780616148 / 2
LCM(69138,69146) = 2390308074

Least Common Multiple (LCM) of 69138 and 69146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69138 and 69146. First we will calculate the prime factors of 69138 and 69146.

Prime Factorization of 69138

Prime Factorization of 69146

Now multiplying the highest exponent prime factors to calculate the LCM of 69138 and 69146.

LCM(69138,69146) = 2¹ × 3² × 23¹ × 167¹ × 7¹ × 11¹ × 449¹
LCM(69138,69146) = 2390308074