What is the Least Common Multiple of 80038 and 80045?

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 80038 and 80045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80038 and 80045, than apply into the LCM equation.

GCF(80038,80045) = 7
LCM(80038,80045) = ( 80038 × 80045) / 7
LCM(80038,80045) = 6406641710 / 7
LCM(80038,80045) = 915234530

Least Common Multiple (LCM) of 80038 and 80045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80038 and 80045. First we will calculate the prime factors of 80038 and 80045.

Prime Factorization of 80038

Prime Factorization of 80045

Now multiplying the highest exponent prime factors to calculate the LCM of 80038 and 80045.

LCM(80038,80045) = 2¹ × 7¹ × 5717¹ × 5¹ × 2287¹
LCM(80038,80045) = 915234530