What is the Least Common Multiple of 30560 and 30575?

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 30560 and 30575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30560 and 30575, than apply into the LCM equation.

GCF(30560,30575) = 5
LCM(30560,30575) = ( 30560 × 30575) / 5
LCM(30560,30575) = 934372000 / 5
LCM(30560,30575) = 186874400

Least Common Multiple (LCM) of 30560 and 30575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30560 and 30575. First we will calculate the prime factors of 30560 and 30575.

Prime Factorization of 30560

Prime Factorization of 30575

Now multiplying the highest exponent prime factors to calculate the LCM of 30560 and 30575.

LCM(30560,30575) = 2⁵ × 5² × 191¹ × 1223¹
LCM(30560,30575) = 186874400