What is the Least Common Multiple of 92224 and 92243?

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 92224 and 92243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92224 and 92243, than apply into the LCM equation.

GCF(92224,92243) = 1
LCM(92224,92243) = ( 92224 × 92243) / 1
LCM(92224,92243) = 8507018432 / 1
LCM(92224,92243) = 8507018432

Least Common Multiple (LCM) of 92224 and 92243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92224 and 92243. First we will calculate the prime factors of 92224 and 92243.

Prime Factorization of 92224

Prime Factorization of 92243

Now multiplying the highest exponent prime factors to calculate the LCM of 92224 and 92243.

LCM(92224,92243) = 2⁶ × 11¹ × 131¹ × 92243¹
LCM(92224,92243) = 8507018432