What is the Least Common Multiple of 78270 and 78285?

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 78270 and 78285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78270 and 78285, than apply into the LCM equation.

GCF(78270,78285) = 15
LCM(78270,78285) = ( 78270 × 78285) / 15
LCM(78270,78285) = 6127366950 / 15
LCM(78270,78285) = 408491130

Least Common Multiple (LCM) of 78270 and 78285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78270 and 78285. First we will calculate the prime factors of 78270 and 78285.

Prime Factorization of 78270

Prime Factorization of 78285

Now multiplying the highest exponent prime factors to calculate the LCM of 78270 and 78285.

LCM(78270,78285) = 2¹ × 3¹ × 5¹ × 2609¹ × 17¹ × 307¹
LCM(78270,78285) = 408491130