What is the Least Common Multiple of 8070 and 8075?

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 8070 and 8075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8070 and 8075, than apply into the LCM equation.

GCF(8070,8075) = 5
LCM(8070,8075) = ( 8070 × 8075) / 5
LCM(8070,8075) = 65165250 / 5
LCM(8070,8075) = 13033050

Least Common Multiple (LCM) of 8070 and 8075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8070 and 8075. First we will calculate the prime factors of 8070 and 8075.

Prime Factorization of 8070

Prime Factorization of 8075

Now multiplying the highest exponent prime factors to calculate the LCM of 8070 and 8075.

LCM(8070,8075) = 2¹ × 3¹ × 5² × 269¹ × 17¹ × 19¹
LCM(8070,8075) = 13033050