What is the Least Common Multiple of 78255 and 78270?

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 78255 and 78270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78255 and 78270, than apply into the LCM equation.

GCF(78255,78270) = 15
LCM(78255,78270) = ( 78255 × 78270) / 15
LCM(78255,78270) = 6125018850 / 15
LCM(78255,78270) = 408334590

Least Common Multiple (LCM) of 78255 and 78270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78255 and 78270. First we will calculate the prime factors of 78255 and 78270.

Prime Factorization of 78255

Prime Factorization of 78270

Now multiplying the highest exponent prime factors to calculate the LCM of 78255 and 78270.

LCM(78255,78270) = 3² × 5¹ × 37¹ × 47¹ × 2¹ × 2609¹
LCM(78255,78270) = 408334590