What is the Least Common Multiple of 71131 and 71144?

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 71131 and 71144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71131 and 71144, than apply into the LCM equation.

GCF(71131,71144) = 1
LCM(71131,71144) = ( 71131 × 71144) / 1
LCM(71131,71144) = 5060543864 / 1
LCM(71131,71144) = 5060543864

Least Common Multiple (LCM) of 71131 and 71144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71131 and 71144. First we will calculate the prime factors of 71131 and 71144.

Prime Factorization of 71131

Prime Factorization of 71144

Now multiplying the highest exponent prime factors to calculate the LCM of 71131 and 71144.

LCM(71131,71144) = 83¹ × 857¹ × 2³ × 8893¹
LCM(71131,71144) = 5060543864