What is the Least Common Multiple of 6075 and 6080?

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 6075 and 6080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6075 and 6080, than apply into the LCM equation.

GCF(6075,6080) = 5
LCM(6075,6080) = ( 6075 × 6080) / 5
LCM(6075,6080) = 36936000 / 5
LCM(6075,6080) = 7387200

Least Common Multiple (LCM) of 6075 and 6080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6075 and 6080. First we will calculate the prime factors of 6075 and 6080.

Prime Factorization of 6075

Prime Factorization of 6080

Now multiplying the highest exponent prime factors to calculate the LCM of 6075 and 6080.

LCM(6075,6080) = 3⁵ × 5² × 2⁶ × 19¹
LCM(6075,6080) = 7387200