What is the Least Common Multiple of 71148 and 71163?

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 71148 and 71163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71148 and 71163, than apply into the LCM equation.

GCF(71148,71163) = 3
LCM(71148,71163) = ( 71148 × 71163) / 3
LCM(71148,71163) = 5063105124 / 3
LCM(71148,71163) = 1687701708

Least Common Multiple (LCM) of 71148 and 71163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71148 and 71163. First we will calculate the prime factors of 71148 and 71163.

Prime Factorization of 71148

Prime Factorization of 71163

Now multiplying the highest exponent prime factors to calculate the LCM of 71148 and 71163.

LCM(71148,71163) = 2² × 3² × 7² × 11² × 7907¹
LCM(71148,71163) = 1687701708