What is the Least Common Multiple of 1838 and 1851?

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 1838 and 1851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1838 and 1851, than apply into the LCM equation.

GCF(1838,1851) = 1
LCM(1838,1851) = ( 1838 × 1851) / 1
LCM(1838,1851) = 3402138 / 1
LCM(1838,1851) = 3402138

Least Common Multiple (LCM) of 1838 and 1851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1838 and 1851. First we will calculate the prime factors of 1838 and 1851.

Prime Factorization of 1838

Prime Factorization of 1851

Now multiplying the highest exponent prime factors to calculate the LCM of 1838 and 1851.

LCM(1838,1851) = 2¹ × 919¹ × 3¹ × 617¹
LCM(1838,1851) = 3402138