What is the Least Common Multiple of 1919 and 1936?

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 1919 and 1936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1919 and 1936, than apply into the LCM equation.

GCF(1919,1936) = 1
LCM(1919,1936) = ( 1919 × 1936) / 1
LCM(1919,1936) = 3715184 / 1
LCM(1919,1936) = 3715184

Least Common Multiple (LCM) of 1919 and 1936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1919 and 1936. First we will calculate the prime factors of 1919 and 1936.

Prime Factorization of 1919

Prime Factorization of 1936

Now multiplying the highest exponent prime factors to calculate the LCM of 1919 and 1936.

LCM(1919,1936) = 19¹ × 101¹ × 2⁴ × 11²
LCM(1919,1936) = 3715184