What is the Least Common Multiple of 80024 and 80038?

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 80024 and 80038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80024 and 80038, than apply into the LCM equation.

GCF(80024,80038) = 14
LCM(80024,80038) = ( 80024 × 80038) / 14
LCM(80024,80038) = 6404960912 / 14
LCM(80024,80038) = 457497208

Least Common Multiple (LCM) of 80024 and 80038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80024 and 80038. First we will calculate the prime factors of 80024 and 80038.

Prime Factorization of 80024

Prime Factorization of 80038

Now multiplying the highest exponent prime factors to calculate the LCM of 80024 and 80038.

LCM(80024,80038) = 2³ × 7¹ × 1429¹ × 5717¹
LCM(80024,80038) = 457497208