What is the Least Common Multiple of 80075 and 80080?

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 80075 and 80080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80075 and 80080, than apply into the LCM equation.

GCF(80075,80080) = 5
LCM(80075,80080) = ( 80075 × 80080) / 5
LCM(80075,80080) = 6412406000 / 5
LCM(80075,80080) = 1282481200

Least Common Multiple (LCM) of 80075 and 80080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80075 and 80080. First we will calculate the prime factors of 80075 and 80080.

Prime Factorization of 80075

Prime Factorization of 80080

Now multiplying the highest exponent prime factors to calculate the LCM of 80075 and 80080.

LCM(80075,80080) = 5² × 3203¹ × 2⁴ × 7¹ × 11¹ × 13¹
LCM(80075,80080) = 1282481200