What is the Least Common Multiple of 17780 and 17795?

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 17780 and 17795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17780 and 17795, than apply into the LCM equation.

GCF(17780,17795) = 5
LCM(17780,17795) = ( 17780 × 17795) / 5
LCM(17780,17795) = 316395100 / 5
LCM(17780,17795) = 63279020

Least Common Multiple (LCM) of 17780 and 17795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17780 and 17795. First we will calculate the prime factors of 17780 and 17795.

Prime Factorization of 17780

Prime Factorization of 17795

Now multiplying the highest exponent prime factors to calculate the LCM of 17780 and 17795.

LCM(17780,17795) = 2² × 5¹ × 7¹ × 127¹ × 3559¹
LCM(17780,17795) = 63279020