What is the Least Common Multiple of 81780 and 81795?

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 81780 and 81795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81780 and 81795, than apply into the LCM equation.

GCF(81780,81795) = 15
LCM(81780,81795) = ( 81780 × 81795) / 15
LCM(81780,81795) = 6689195100 / 15
LCM(81780,81795) = 445946340

Least Common Multiple (LCM) of 81780 and 81795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81780 and 81795. First we will calculate the prime factors of 81780 and 81795.

Prime Factorization of 81780

Prime Factorization of 81795

Now multiplying the highest exponent prime factors to calculate the LCM of 81780 and 81795.

LCM(81780,81795) = 2² × 3¹ × 5¹ × 29¹ × 47¹ × 7¹ × 19¹ × 41¹
LCM(81780,81795) = 445946340