What is the Least Common Multiple of 84116 and 84120?

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 84116 and 84120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84116 and 84120, than apply into the LCM equation.

GCF(84116,84120) = 4
LCM(84116,84120) = ( 84116 × 84120) / 4
LCM(84116,84120) = 7075837920 / 4
LCM(84116,84120) = 1768959480

Least Common Multiple (LCM) of 84116 and 84120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84116 and 84120. First we will calculate the prime factors of 84116 and 84120.

Prime Factorization of 84116

Prime Factorization of 84120

Now multiplying the highest exponent prime factors to calculate the LCM of 84116 and 84120.

LCM(84116,84120) = 2³ × 17¹ × 1237¹ × 3¹ × 5¹ × 701¹
LCM(84116,84120) = 1768959480