What is the Least Common Multiple of 69135 and 69144?

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 69135 and 69144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69135 and 69144, than apply into the LCM equation.

GCF(69135,69144) = 3
LCM(69135,69144) = ( 69135 × 69144) / 3
LCM(69135,69144) = 4780270440 / 3
LCM(69135,69144) = 1593423480

Least Common Multiple (LCM) of 69135 and 69144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69135 and 69144. First we will calculate the prime factors of 69135 and 69144.

Prime Factorization of 69135

Prime Factorization of 69144

Now multiplying the highest exponent prime factors to calculate the LCM of 69135 and 69144.

LCM(69135,69144) = 3¹ × 5¹ × 11¹ × 419¹ × 2³ × 43¹ × 67¹
LCM(69135,69144) = 1593423480