What is the Least Common Multiple of 1812 and 1826?

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 1812 and 1826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1812 and 1826, than apply into the LCM equation.

GCF(1812,1826) = 2
LCM(1812,1826) = ( 1812 × 1826) / 2
LCM(1812,1826) = 3308712 / 2
LCM(1812,1826) = 1654356

Least Common Multiple (LCM) of 1812 and 1826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1812 and 1826. First we will calculate the prime factors of 1812 and 1826.

Prime Factorization of 1812

Prime Factorization of 1826

Now multiplying the highest exponent prime factors to calculate the LCM of 1812 and 1826.

LCM(1812,1826) = 2² × 3¹ × 151¹ × 11¹ × 83¹
LCM(1812,1826) = 1654356