What is the Least Common Multiple of 1893 and 1906?

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 1893 and 1906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1893 and 1906, than apply into the LCM equation.

GCF(1893,1906) = 1
LCM(1893,1906) = ( 1893 × 1906) / 1
LCM(1893,1906) = 3608058 / 1
LCM(1893,1906) = 3608058

Least Common Multiple (LCM) of 1893 and 1906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1893 and 1906. First we will calculate the prime factors of 1893 and 1906.

Prime Factorization of 1893

Prime Factorization of 1906

Now multiplying the highest exponent prime factors to calculate the LCM of 1893 and 1906.

LCM(1893,1906) = 3¹ × 631¹ × 2¹ × 953¹
LCM(1893,1906) = 3608058