What is the Least Common Multiple of 78180 and 78190?

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 78180 and 78190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78180 and 78190, than apply into the LCM equation.

GCF(78180,78190) = 10
LCM(78180,78190) = ( 78180 × 78190) / 10
LCM(78180,78190) = 6112894200 / 10
LCM(78180,78190) = 611289420

Least Common Multiple (LCM) of 78180 and 78190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78180 and 78190. First we will calculate the prime factors of 78180 and 78190.

Prime Factorization of 78180

Prime Factorization of 78190

Now multiplying the highest exponent prime factors to calculate the LCM of 78180 and 78190.

LCM(78180,78190) = 2² × 3¹ × 5¹ × 1303¹ × 7¹ × 1117¹
LCM(78180,78190) = 611289420