What is the Least Common Multiple of 54435 and 54449?

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 54435 and 54449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54435 and 54449, than apply into the LCM equation.

GCF(54435,54449) = 1
LCM(54435,54449) = ( 54435 × 54449) / 1
LCM(54435,54449) = 2963931315 / 1
LCM(54435,54449) = 2963931315

Least Common Multiple (LCM) of 54435 and 54449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54435 and 54449. First we will calculate the prime factors of 54435 and 54449.

Prime Factorization of 54435

Prime Factorization of 54449

Now multiplying the highest exponent prime factors to calculate the LCM of 54435 and 54449.

LCM(54435,54449) = 3¹ × 5¹ × 19¹ × 191¹ × 54449¹
LCM(54435,54449) = 2963931315