What is the Least Common Multiple of 84224 and 84238?

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 84224 and 84238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84224 and 84238, than apply into the LCM equation.

GCF(84224,84238) = 14
LCM(84224,84238) = ( 84224 × 84238) / 14
LCM(84224,84238) = 7094861312 / 14
LCM(84224,84238) = 506775808

Least Common Multiple (LCM) of 84224 and 84238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84224 and 84238. First we will calculate the prime factors of 84224 and 84238.

Prime Factorization of 84224

Prime Factorization of 84238

Now multiplying the highest exponent prime factors to calculate the LCM of 84224 and 84238.

LCM(84224,84238) = 2⁸ × 7¹ × 47¹ × 11¹ × 547¹
LCM(84224,84238) = 506775808