What is the Least Common Multiple of 1899 and 1914?

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 1899 and 1914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1899 and 1914, than apply into the LCM equation.

GCF(1899,1914) = 3
LCM(1899,1914) = ( 1899 × 1914) / 3
LCM(1899,1914) = 3634686 / 3
LCM(1899,1914) = 1211562

Least Common Multiple (LCM) of 1899 and 1914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1899 and 1914. First we will calculate the prime factors of 1899 and 1914.

Prime Factorization of 1899

Prime Factorization of 1914

Now multiplying the highest exponent prime factors to calculate the LCM of 1899 and 1914.

LCM(1899,1914) = 3² × 211¹ × 2¹ × 11¹ × 29¹
LCM(1899,1914) = 1211562