What is the Least Common Multiple of 71155 and 71173?

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 71155 and 71173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71155 and 71173, than apply into the LCM equation.

GCF(71155,71173) = 1
LCM(71155,71173) = ( 71155 × 71173) / 1
LCM(71155,71173) = 5064314815 / 1
LCM(71155,71173) = 5064314815

Least Common Multiple (LCM) of 71155 and 71173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71155 and 71173. First we will calculate the prime factors of 71155 and 71173.

Prime Factorization of 71155

Prime Factorization of 71173

Now multiplying the highest exponent prime factors to calculate the LCM of 71155 and 71173.

LCM(71155,71173) = 5¹ × 7¹ × 19¹ × 107¹ × 103¹ × 691¹
LCM(71155,71173) = 5064314815