What is the Least Common Multiple of 84711 and 84722?

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 84711 and 84722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84711 and 84722, than apply into the LCM equation.

GCF(84711,84722) = 11
LCM(84711,84722) = ( 84711 × 84722) / 11
LCM(84711,84722) = 7176885342 / 11
LCM(84711,84722) = 652444122

Least Common Multiple (LCM) of 84711 and 84722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84711 and 84722. First we will calculate the prime factors of 84711 and 84722.

Prime Factorization of 84711

Prime Factorization of 84722

Now multiplying the highest exponent prime factors to calculate the LCM of 84711 and 84722.

LCM(84711,84722) = 3¹ × 11¹ × 17¹ × 151¹ × 2¹ × 3851¹
LCM(84711,84722) = 652444122