What is the Least Common Multiple of 71392 and 71411?

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 71392 and 71411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71392 and 71411, than apply into the LCM equation.

GCF(71392,71411) = 1
LCM(71392,71411) = ( 71392 × 71411) / 1
LCM(71392,71411) = 5098174112 / 1
LCM(71392,71411) = 5098174112

Least Common Multiple (LCM) of 71392 and 71411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71392 and 71411. First we will calculate the prime factors of 71392 and 71411.

Prime Factorization of 71392

Prime Factorization of 71411

Now multiplying the highest exponent prime factors to calculate the LCM of 71392 and 71411.

LCM(71392,71411) = 2⁵ × 23¹ × 97¹ × 71411¹
LCM(71392,71411) = 5098174112