What is the Least Common Multiple of 71156 and 71174?

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 71156 and 71174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71156 and 71174, than apply into the LCM equation.

GCF(71156,71174) = 2
LCM(71156,71174) = ( 71156 × 71174) / 2
LCM(71156,71174) = 5064457144 / 2
LCM(71156,71174) = 2532228572

Least Common Multiple (LCM) of 71156 and 71174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71156 and 71174. First we will calculate the prime factors of 71156 and 71174.

Prime Factorization of 71156

Prime Factorization of 71174

Now multiplying the highest exponent prime factors to calculate the LCM of 71156 and 71174.

LCM(71156,71174) = 2² × 17789¹ × 19¹ × 1873¹
LCM(71156,71174) = 2532228572