What is the Least Common Multiple of 69030 and 69045?

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 69030 and 69045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69030 and 69045, than apply into the LCM equation.

GCF(69030,69045) = 15
LCM(69030,69045) = ( 69030 × 69045) / 15
LCM(69030,69045) = 4766176350 / 15
LCM(69030,69045) = 317745090

Least Common Multiple (LCM) of 69030 and 69045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69030 and 69045. First we will calculate the prime factors of 69030 and 69045.

Prime Factorization of 69030

Prime Factorization of 69045

Now multiplying the highest exponent prime factors to calculate the LCM of 69030 and 69045.

LCM(69030,69045) = 2¹ × 3² × 5¹ × 13¹ × 59¹ × 4603¹
LCM(69030,69045) = 317745090