What is the Least Common Multiple of 71882 and 71892?

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 71882 and 71892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71882 and 71892, than apply into the LCM equation.

GCF(71882,71892) = 2
LCM(71882,71892) = ( 71882 × 71892) / 2
LCM(71882,71892) = 5167740744 / 2
LCM(71882,71892) = 2583870372

Least Common Multiple (LCM) of 71882 and 71892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71882 and 71892. First we will calculate the prime factors of 71882 and 71892.

Prime Factorization of 71882

Prime Factorization of 71892

Now multiplying the highest exponent prime factors to calculate the LCM of 71882 and 71892.

LCM(71882,71892) = 2² × 127¹ × 283¹ × 3² × 1997¹
LCM(71882,71892) = 2583870372