What is the Least Common Multiple of 77059 and 77071?

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 77059 and 77071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77059 and 77071, than apply into the LCM equation.

GCF(77059,77071) = 1
LCM(77059,77071) = ( 77059 × 77071) / 1
LCM(77059,77071) = 5939014189 / 1
LCM(77059,77071) = 5939014189

Least Common Multiple (LCM) of 77059 and 77071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77059 and 77071. First we will calculate the prime factors of 77059 and 77071.

Prime Factorization of 77059

Prime Factorization of 77071

Now multiplying the highest exponent prime factors to calculate the LCM of 77059 and 77071.

LCM(77059,77071) = 263¹ × 293¹ × 37¹ × 2083¹
LCM(77059,77071) = 5939014189