What is the Least Common Multiple of 84471 and 84478?

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 84471 and 84478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84471 and 84478, than apply into the LCM equation.

GCF(84471,84478) = 1
LCM(84471,84478) = ( 84471 × 84478) / 1
LCM(84471,84478) = 7135941138 / 1
LCM(84471,84478) = 7135941138

Least Common Multiple (LCM) of 84471 and 84478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84471 and 84478. First we will calculate the prime factors of 84471 and 84478.

Prime Factorization of 84471

Prime Factorization of 84478

Now multiplying the highest exponent prime factors to calculate the LCM of 84471 and 84478.

LCM(84471,84478) = 3¹ × 37¹ × 761¹ × 2¹ × 42239¹
LCM(84471,84478) = 7135941138