What is the Least Common Multiple of 1914 and 1930?

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 1914 and 1930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1914 and 1930, than apply into the LCM equation.

GCF(1914,1930) = 2
LCM(1914,1930) = ( 1914 × 1930) / 2
LCM(1914,1930) = 3694020 / 2
LCM(1914,1930) = 1847010

Least Common Multiple (LCM) of 1914 and 1930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1914 and 1930. First we will calculate the prime factors of 1914 and 1930.

Prime Factorization of 1914

Prime Factorization of 1930

Now multiplying the highest exponent prime factors to calculate the LCM of 1914 and 1930.

LCM(1914,1930) = 2¹ × 3¹ × 11¹ × 29¹ × 5¹ × 193¹
LCM(1914,1930) = 1847010