What is the Least Common Multiple of 71852 and 71872?

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 71852 and 71872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71852 and 71872, than apply into the LCM equation.

GCF(71852,71872) = 4
LCM(71852,71872) = ( 71852 × 71872) / 4
LCM(71852,71872) = 5164146944 / 4
LCM(71852,71872) = 1291036736

Least Common Multiple (LCM) of 71852 and 71872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71852 and 71872. First we will calculate the prime factors of 71852 and 71872.

Prime Factorization of 71852

Prime Factorization of 71872

Now multiplying the highest exponent prime factors to calculate the LCM of 71852 and 71872.

LCM(71852,71872) = 2⁶ × 11¹ × 23¹ × 71¹ × 1123¹
LCM(71852,71872) = 1291036736