What is the Least Common Multiple of 69045 and 69054?

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 69045 and 69054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69045 and 69054, than apply into the LCM equation.

GCF(69045,69054) = 3
LCM(69045,69054) = ( 69045 × 69054) / 3
LCM(69045,69054) = 4767833430 / 3
LCM(69045,69054) = 1589277810

Least Common Multiple (LCM) of 69045 and 69054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69045 and 69054. First we will calculate the prime factors of 69045 and 69054.

Prime Factorization of 69045

Prime Factorization of 69054

Now multiplying the highest exponent prime factors to calculate the LCM of 69045 and 69054.

LCM(69045,69054) = 3¹ × 5¹ × 4603¹ × 2¹ × 17¹ × 677¹
LCM(69045,69054) = 1589277810