What is the Least Common Multiple of 87309 and 87327?

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 87309 and 87327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87309 and 87327, than apply into the LCM equation.

GCF(87309,87327) = 9
LCM(87309,87327) = ( 87309 × 87327) / 9
LCM(87309,87327) = 7624433043 / 9
LCM(87309,87327) = 847159227

Least Common Multiple (LCM) of 87309 and 87327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87309 and 87327. First we will calculate the prime factors of 87309 and 87327.

Prime Factorization of 87309

Prime Factorization of 87327

Now multiplying the highest exponent prime factors to calculate the LCM of 87309 and 87327.

LCM(87309,87327) = 3² × 89¹ × 109¹ × 31¹ × 313¹
LCM(87309,87327) = 847159227