What is the Least Common Multiple of 57195 and 57205?

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 57195 and 57205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57195 and 57205, than apply into the LCM equation.

GCF(57195,57205) = 5
LCM(57195,57205) = ( 57195 × 57205) / 5
LCM(57195,57205) = 3271839975 / 5
LCM(57195,57205) = 654367995

Least Common Multiple (LCM) of 57195 and 57205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57195 and 57205. First we will calculate the prime factors of 57195 and 57205.

Prime Factorization of 57195

Prime Factorization of 57205

Now multiplying the highest exponent prime factors to calculate the LCM of 57195 and 57205.

LCM(57195,57205) = 3² × 5¹ × 31¹ × 41¹ × 17¹ × 673¹
LCM(57195,57205) = 654367995