What is the Least Common Multiple of 87115 and 87129?

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 87115 and 87129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87115 and 87129, than apply into the LCM equation.

GCF(87115,87129) = 7
LCM(87115,87129) = ( 87115 × 87129) / 7
LCM(87115,87129) = 7590242835 / 7
LCM(87115,87129) = 1084320405

Least Common Multiple (LCM) of 87115 and 87129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87115 and 87129. First we will calculate the prime factors of 87115 and 87129.

Prime Factorization of 87115

Prime Factorization of 87129

Now multiplying the highest exponent prime factors to calculate the LCM of 87115 and 87129.

LCM(87115,87129) = 5¹ × 7¹ × 19¹ × 131¹ × 3³ × 461¹
LCM(87115,87129) = 1084320405