What is the Least Common Multiple of 87185 and 87205?

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 87185 and 87205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87185 and 87205, than apply into the LCM equation.

GCF(87185,87205) = 5
LCM(87185,87205) = ( 87185 × 87205) / 5
LCM(87185,87205) = 7602967925 / 5
LCM(87185,87205) = 1520593585

Least Common Multiple (LCM) of 87185 and 87205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87185 and 87205. First we will calculate the prime factors of 87185 and 87205.

Prime Factorization of 87185

Prime Factorization of 87205

Now multiplying the highest exponent prime factors to calculate the LCM of 87185 and 87205.

LCM(87185,87205) = 5¹ × 7¹ × 47¹ × 53¹ × 107¹ × 163¹
LCM(87185,87205) = 1520593585