What is the Least Common Multiple of 69054 and 69060?

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 69054 and 69060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69054 and 69060, than apply into the LCM equation.

GCF(69054,69060) = 6
LCM(69054,69060) = ( 69054 × 69060) / 6
LCM(69054,69060) = 4768869240 / 6
LCM(69054,69060) = 794811540

Least Common Multiple (LCM) of 69054 and 69060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69054 and 69060. First we will calculate the prime factors of 69054 and 69060.

Prime Factorization of 69054

Prime Factorization of 69060

Now multiplying the highest exponent prime factors to calculate the LCM of 69054 and 69060.

LCM(69054,69060) = 2² × 3¹ × 17¹ × 677¹ × 5¹ × 1151¹
LCM(69054,69060) = 794811540