What is the Least Common Multiple of 80430 and 80449?

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 80430 and 80449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80430 and 80449, than apply into the LCM equation.

GCF(80430,80449) = 1
LCM(80430,80449) = ( 80430 × 80449) / 1
LCM(80430,80449) = 6470513070 / 1
LCM(80430,80449) = 6470513070

Least Common Multiple (LCM) of 80430 and 80449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80430 and 80449. First we will calculate the prime factors of 80430 and 80449.

Prime Factorization of 80430

Prime Factorization of 80449

Now multiplying the highest exponent prime factors to calculate the LCM of 80430 and 80449.

LCM(80430,80449) = 2¹ × 3¹ × 5¹ × 7¹ × 383¹ × 80449¹
LCM(80430,80449) = 6470513070