What is the Least Common Multiple of 66185 and 66205?

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 66185 and 66205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66185 and 66205, than apply into the LCM equation.

GCF(66185,66205) = 5
LCM(66185,66205) = ( 66185 × 66205) / 5
LCM(66185,66205) = 4381777925 / 5
LCM(66185,66205) = 876355585

Least Common Multiple (LCM) of 66185 and 66205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66185 and 66205. First we will calculate the prime factors of 66185 and 66205.

Prime Factorization of 66185

Prime Factorization of 66205

Now multiplying the highest exponent prime factors to calculate the LCM of 66185 and 66205.

LCM(66185,66205) = 5¹ × 7¹ × 31¹ × 61¹ × 13241¹
LCM(66185,66205) = 876355585