What is the Least Common Multiple of 84214 and 84224?

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 84214 and 84224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84214 and 84224, than apply into the LCM equation.

GCF(84214,84224) = 2
LCM(84214,84224) = ( 84214 × 84224) / 2
LCM(84214,84224) = 7092839936 / 2
LCM(84214,84224) = 3546419968

Least Common Multiple (LCM) of 84214 and 84224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84214 and 84224. First we will calculate the prime factors of 84214 and 84224.

Prime Factorization of 84214

Prime Factorization of 84224

Now multiplying the highest exponent prime factors to calculate the LCM of 84214 and 84224.

LCM(84214,84224) = 2⁸ × 13¹ × 41¹ × 79¹ × 7¹ × 47¹
LCM(84214,84224) = 3546419968