What is the Least Common Multiple of 84208 and 84214?

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 84208 and 84214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84208 and 84214, than apply into the LCM equation.

GCF(84208,84214) = 2
LCM(84208,84214) = ( 84208 × 84214) / 2
LCM(84208,84214) = 7091492512 / 2
LCM(84208,84214) = 3545746256

Least Common Multiple (LCM) of 84208 and 84214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84208 and 84214. First we will calculate the prime factors of 84208 and 84214.

Prime Factorization of 84208

Prime Factorization of 84214

Now multiplying the highest exponent prime factors to calculate the LCM of 84208 and 84214.

LCM(84208,84214) = 2⁴ × 19¹ × 277¹ × 13¹ × 41¹ × 79¹
LCM(84208,84214) = 3545746256