What is the Least Common Multiple of 87156 and 87169?

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 87156 and 87169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87156 and 87169, than apply into the LCM equation.

GCF(87156,87169) = 1
LCM(87156,87169) = ( 87156 × 87169) / 1
LCM(87156,87169) = 7597301364 / 1
LCM(87156,87169) = 7597301364

Least Common Multiple (LCM) of 87156 and 87169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87156 and 87169. First we will calculate the prime factors of 87156 and 87169.

Prime Factorization of 87156

Prime Factorization of 87169

Now multiplying the highest exponent prime factors to calculate the LCM of 87156 and 87169.

LCM(87156,87169) = 2² × 3⁴ × 269¹ × 61¹ × 1429¹
LCM(87156,87169) = 7597301364