What is the Least Common Multiple of 84224 and 84244?

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 84244 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 84244, than apply into the LCM equation.

GCF(84224,84244) = 4
LCM(84224,84244) = ( 84224 × 84244) / 4
LCM(84224,84244) = 7095366656 / 4
LCM(84224,84244) = 1773841664

Least Common Multiple (LCM) of 84224 and 84244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84224 and 84244. First we will calculate the prime factors of 84224 and 84244.

Prime Factorization of 84224

Prime Factorization of 84244

Now multiplying the highest exponent prime factors to calculate the LCM of 84224 and 84244.

LCM(84224,84244) = 2⁸ × 7¹ × 47¹ × 21061¹
LCM(84224,84244) = 1773841664