What is the Least Common Multiple of 84723 and 84739?

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 84723 and 84739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84723 and 84739, than apply into the LCM equation.

GCF(84723,84739) = 1
LCM(84723,84739) = ( 84723 × 84739) / 1
LCM(84723,84739) = 7179342297 / 1
LCM(84723,84739) = 7179342297

Least Common Multiple (LCM) of 84723 and 84739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84723 and 84739. First we will calculate the prime factors of 84723 and 84739.

Prime Factorization of 84723

Prime Factorization of 84739

Now multiplying the highest exponent prime factors to calculate the LCM of 84723 and 84739.

LCM(84723,84739) = 3¹ × 31¹ × 911¹ × 101¹ × 839¹
LCM(84723,84739) = 7179342297