What is the Least Common Multiple of 84114 and 84131?

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 84114 and 84131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84114 and 84131, than apply into the LCM equation.

GCF(84114,84131) = 1
LCM(84114,84131) = ( 84114 × 84131) / 1
LCM(84114,84131) = 7076594934 / 1
LCM(84114,84131) = 7076594934

Least Common Multiple (LCM) of 84114 and 84131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84114 and 84131. First we will calculate the prime factors of 84114 and 84131.

Prime Factorization of 84114

Prime Factorization of 84131

Now multiplying the highest exponent prime factors to calculate the LCM of 84114 and 84131.

LCM(84114,84131) = 2¹ × 3² × 4673¹ × 84131¹
LCM(84114,84131) = 7076594934