What is the Least Common Multiple of 54270 and 54285?

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 54270 and 54285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54270 and 54285, than apply into the LCM equation.

GCF(54270,54285) = 15
LCM(54270,54285) = ( 54270 × 54285) / 15
LCM(54270,54285) = 2946046950 / 15
LCM(54270,54285) = 196403130

Least Common Multiple (LCM) of 54270 and 54285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54270 and 54285. First we will calculate the prime factors of 54270 and 54285.

Prime Factorization of 54270

Prime Factorization of 54285

Now multiplying the highest exponent prime factors to calculate the LCM of 54270 and 54285.

LCM(54270,54285) = 2¹ × 3⁴ × 5¹ × 67¹ × 7¹ × 11¹ × 47¹
LCM(54270,54285) = 196403130