What is the Least Common Multiple of 60430 and 60449?

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 60430 and 60449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60430 and 60449, than apply into the LCM equation.

GCF(60430,60449) = 1
LCM(60430,60449) = ( 60430 × 60449) / 1
LCM(60430,60449) = 3652933070 / 1
LCM(60430,60449) = 3652933070

Least Common Multiple (LCM) of 60430 and 60449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60430 and 60449. First we will calculate the prime factors of 60430 and 60449.

Prime Factorization of 60430

Prime Factorization of 60449

Now multiplying the highest exponent prime factors to calculate the LCM of 60430 and 60449.

LCM(60430,60449) = 2¹ × 5¹ × 6043¹ × 60449¹
LCM(60430,60449) = 3652933070