What is the Least Common Multiple of 71914 and 71926?

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 71914 and 71926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71914 and 71926, than apply into the LCM equation.

GCF(71914,71926) = 2
LCM(71914,71926) = ( 71914 × 71926) / 2
LCM(71914,71926) = 5172486364 / 2
LCM(71914,71926) = 2586243182

Least Common Multiple (LCM) of 71914 and 71926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71914 and 71926. First we will calculate the prime factors of 71914 and 71926.

Prime Factorization of 71914

Prime Factorization of 71926

Now multiplying the highest exponent prime factors to calculate the LCM of 71914 and 71926.

LCM(71914,71926) = 2¹ × 41¹ × 877¹ × 35963¹
LCM(71914,71926) = 2586243182