What is the Least Common Multiple of 18560 and 18575?

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 18560 and 18575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18560 and 18575, than apply into the LCM equation.

GCF(18560,18575) = 5
LCM(18560,18575) = ( 18560 × 18575) / 5
LCM(18560,18575) = 344752000 / 5
LCM(18560,18575) = 68950400

Least Common Multiple (LCM) of 18560 and 18575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18560 and 18575. First we will calculate the prime factors of 18560 and 18575.

Prime Factorization of 18560

Prime Factorization of 18575

Now multiplying the highest exponent prime factors to calculate the LCM of 18560 and 18575.

LCM(18560,18575) = 2⁷ × 5² × 29¹ × 743¹
LCM(18560,18575) = 68950400