What is the Least Common Multiple of 2070 and 2075?

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 2070 and 2075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2070 and 2075, than apply into the LCM equation.

GCF(2070,2075) = 5
LCM(2070,2075) = ( 2070 × 2075) / 5
LCM(2070,2075) = 4295250 / 5
LCM(2070,2075) = 859050

Least Common Multiple (LCM) of 2070 and 2075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2070 and 2075. First we will calculate the prime factors of 2070 and 2075.

Prime Factorization of 2070

Prime Factorization of 2075

Now multiplying the highest exponent prime factors to calculate the LCM of 2070 and 2075.

LCM(2070,2075) = 2¹ × 3² × 5² × 23¹ × 83¹
LCM(2070,2075) = 859050