What is the Least Common Multiple of 71785 and 71791?

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 71785 and 71791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71785 and 71791, than apply into the LCM equation.

GCF(71785,71791) = 1
LCM(71785,71791) = ( 71785 × 71791) / 1
LCM(71785,71791) = 5153516935 / 1
LCM(71785,71791) = 5153516935

Least Common Multiple (LCM) of 71785 and 71791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71785 and 71791. First we will calculate the prime factors of 71785 and 71791.

Prime Factorization of 71785

Prime Factorization of 71791

Now multiplying the highest exponent prime factors to calculate the LCM of 71785 and 71791.

LCM(71785,71791) = 5¹ × 7² × 293¹ × 17¹ × 41¹ × 103¹
LCM(71785,71791) = 5153516935