What is the Least Common Multiple of 1780 and 1795?

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 1780 and 1795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1780 and 1795, than apply into the LCM equation.

GCF(1780,1795) = 5
LCM(1780,1795) = ( 1780 × 1795) / 5
LCM(1780,1795) = 3195100 / 5
LCM(1780,1795) = 639020

Least Common Multiple (LCM) of 1780 and 1795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1780 and 1795. First we will calculate the prime factors of 1780 and 1795.

Prime Factorization of 1780

Prime Factorization of 1795

Now multiplying the highest exponent prime factors to calculate the LCM of 1780 and 1795.

LCM(1780,1795) = 2² × 5¹ × 89¹ × 359¹
LCM(1780,1795) = 639020