What is the Least Common Multiple of 84114 and 84130?

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 84130 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 84130, than apply into the LCM equation.

GCF(84114,84130) = 2
LCM(84114,84130) = ( 84114 × 84130) / 2
LCM(84114,84130) = 7076510820 / 2
LCM(84114,84130) = 3538255410

Least Common Multiple (LCM) of 84114 and 84130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84114 and 84130. First we will calculate the prime factors of 84114 and 84130.

Prime Factorization of 84114

Prime Factorization of 84130

Now multiplying the highest exponent prime factors to calculate the LCM of 84114 and 84130.

LCM(84114,84130) = 2¹ × 3² × 4673¹ × 5¹ × 47¹ × 179¹
LCM(84114,84130) = 3538255410