What is the Least Common Multiple of 1780 and 1794?

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 1794 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 1794, than apply into the LCM equation.

GCF(1780,1794) = 2
LCM(1780,1794) = ( 1780 × 1794) / 2
LCM(1780,1794) = 3193320 / 2
LCM(1780,1794) = 1596660

Least Common Multiple (LCM) of 1780 and 1794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1780 and 1794. First we will calculate the prime factors of 1780 and 1794.

Prime Factorization of 1780

Prime Factorization of 1794

Now multiplying the highest exponent prime factors to calculate the LCM of 1780 and 1794.

LCM(1780,1794) = 2² × 5¹ × 89¹ × 3¹ × 13¹ × 23¹
LCM(1780,1794) = 1596660