What is the Least Common Multiple of 47192 and 47211?

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 47192 and 47211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47192 and 47211, than apply into the LCM equation.

GCF(47192,47211) = 1
LCM(47192,47211) = ( 47192 × 47211) / 1
LCM(47192,47211) = 2227981512 / 1
LCM(47192,47211) = 2227981512

Least Common Multiple (LCM) of 47192 and 47211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47192 and 47211. First we will calculate the prime factors of 47192 and 47211.

Prime Factorization of 47192

Prime Factorization of 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 47192 and 47211.

LCM(47192,47211) = 2³ × 17¹ × 347¹ × 3¹ × 15737¹
LCM(47192,47211) = 2227981512