What is the Least Common Multiple of 92430 and 92449?

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 92430 and 92449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92430 and 92449, than apply into the LCM equation.

GCF(92430,92449) = 1
LCM(92430,92449) = ( 92430 × 92449) / 1
LCM(92430,92449) = 8545061070 / 1
LCM(92430,92449) = 8545061070

Least Common Multiple (LCM) of 92430 and 92449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92430 and 92449. First we will calculate the prime factors of 92430 and 92449.

Prime Factorization of 92430

Prime Factorization of 92449

Now multiplying the highest exponent prime factors to calculate the LCM of 92430 and 92449.

LCM(92430,92449) = 2¹ × 3² × 5¹ × 13¹ × 79¹ × 7¹ × 47¹ × 281¹
LCM(92430,92449) = 8545061070