What is the Least Common Multiple of 71096 and 71111?

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 71096 and 71111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71096 and 71111, than apply into the LCM equation.

GCF(71096,71111) = 1
LCM(71096,71111) = ( 71096 × 71111) / 1
LCM(71096,71111) = 5055707656 / 1
LCM(71096,71111) = 5055707656

Least Common Multiple (LCM) of 71096 and 71111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71096 and 71111. First we will calculate the prime factors of 71096 and 71111.

Prime Factorization of 71096

Prime Factorization of 71111

Now multiplying the highest exponent prime factors to calculate the LCM of 71096 and 71111.

LCM(71096,71111) = 2³ × 8887¹ × 17¹ × 47¹ × 89¹
LCM(71096,71111) = 5055707656