What is the Least Common Multiple of 56430 and 56449?

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 56430 and 56449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56430 and 56449, than apply into the LCM equation.

GCF(56430,56449) = 19
LCM(56430,56449) = ( 56430 × 56449) / 19
LCM(56430,56449) = 3185417070 / 19
LCM(56430,56449) = 167653530

Least Common Multiple (LCM) of 56430 and 56449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56430 and 56449. First we will calculate the prime factors of 56430 and 56449.

Prime Factorization of 56430

Prime Factorization of 56449

Now multiplying the highest exponent prime factors to calculate the LCM of 56430 and 56449.

LCM(56430,56449) = 2¹ × 3³ × 5¹ × 11¹ × 19¹ × 2971¹
LCM(56430,56449) = 167653530