What is the Least Common Multiple of 1906 and 1926?

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 1906 and 1926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1906 and 1926, than apply into the LCM equation.

GCF(1906,1926) = 2
LCM(1906,1926) = ( 1906 × 1926) / 2
LCM(1906,1926) = 3670956 / 2
LCM(1906,1926) = 1835478

Least Common Multiple (LCM) of 1906 and 1926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1906 and 1926. First we will calculate the prime factors of 1906 and 1926.

Prime Factorization of 1906

Prime Factorization of 1926

Now multiplying the highest exponent prime factors to calculate the LCM of 1906 and 1926.

LCM(1906,1926) = 2¹ × 953¹ × 3² × 107¹
LCM(1906,1926) = 1835478