What is the Least Common Multiple of 71791 and 71805?

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 71791 and 71805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71791 and 71805, than apply into the LCM equation.

GCF(71791,71805) = 1
LCM(71791,71805) = ( 71791 × 71805) / 1
LCM(71791,71805) = 5154952755 / 1
LCM(71791,71805) = 5154952755

Least Common Multiple (LCM) of 71791 and 71805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71791 and 71805. First we will calculate the prime factors of 71791 and 71805.

Prime Factorization of 71791

Prime Factorization of 71805

Now multiplying the highest exponent prime factors to calculate the LCM of 71791 and 71805.

LCM(71791,71805) = 17¹ × 41¹ × 103¹ × 3¹ × 5¹ × 4787¹
LCM(71791,71805) = 5154952755