What is the Least Common Multiple of 1788 and 1798?

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 1788 and 1798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1788 and 1798, than apply into the LCM equation.

GCF(1788,1798) = 2
LCM(1788,1798) = ( 1788 × 1798) / 2
LCM(1788,1798) = 3214824 / 2
LCM(1788,1798) = 1607412

Least Common Multiple (LCM) of 1788 and 1798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1788 and 1798. First we will calculate the prime factors of 1788 and 1798.

Prime Factorization of 1788

Prime Factorization of 1798

Now multiplying the highest exponent prime factors to calculate the LCM of 1788 and 1798.

LCM(1788,1798) = 2² × 3¹ × 149¹ × 29¹ × 31¹
LCM(1788,1798) = 1607412