What is the Least Common Multiple of 8075 and 8080?

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 8075 and 8080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8075 and 8080, than apply into the LCM equation.

GCF(8075,8080) = 5
LCM(8075,8080) = ( 8075 × 8080) / 5
LCM(8075,8080) = 65246000 / 5
LCM(8075,8080) = 13049200

Least Common Multiple (LCM) of 8075 and 8080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8075 and 8080. First we will calculate the prime factors of 8075 and 8080.

Prime Factorization of 8075

Prime Factorization of 8080

Now multiplying the highest exponent prime factors to calculate the LCM of 8075 and 8080.

LCM(8075,8080) = 5² × 17¹ × 19¹ × 2⁴ × 101¹
LCM(8075,8080) = 13049200