What is the Least Common Multiple of 40919 and 40939?

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 40919 and 40939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40919 and 40939, than apply into the LCM equation.

GCF(40919,40939) = 1
LCM(40919,40939) = ( 40919 × 40939) / 1
LCM(40919,40939) = 1675182941 / 1
LCM(40919,40939) = 1675182941

Least Common Multiple (LCM) of 40919 and 40939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40919 and 40939. First we will calculate the prime factors of 40919 and 40939.

Prime Factorization of 40919

Prime Factorization of 40939

Now multiplying the highest exponent prime factors to calculate the LCM of 40919 and 40939.

LCM(40919,40939) = 17¹ × 29¹ × 83¹ × 40939¹
LCM(40919,40939) = 1675182941