What is the Least Common Multiple of 2075 and 2080?

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 2075 and 2080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2075 and 2080, than apply into the LCM equation.

GCF(2075,2080) = 5
LCM(2075,2080) = ( 2075 × 2080) / 5
LCM(2075,2080) = 4316000 / 5
LCM(2075,2080) = 863200

Least Common Multiple (LCM) of 2075 and 2080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2075 and 2080. First we will calculate the prime factors of 2075 and 2080.

Prime Factorization of 2075

Prime Factorization of 2080

Now multiplying the highest exponent prime factors to calculate the LCM of 2075 and 2080.

LCM(2075,2080) = 5² × 83¹ × 2⁵ × 13¹
LCM(2075,2080) = 863200