What is the Least Common Multiple of 87156 and 87172?

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 87172 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 87172, than apply into the LCM equation.

GCF(87156,87172) = 4
LCM(87156,87172) = ( 87156 × 87172) / 4
LCM(87156,87172) = 7597562832 / 4
LCM(87156,87172) = 1899390708

Least Common Multiple (LCM) of 87156 and 87172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87156 and 87172. First we will calculate the prime factors of 87156 and 87172.

Prime Factorization of 87156

Prime Factorization of 87172

Now multiplying the highest exponent prime factors to calculate the LCM of 87156 and 87172.

LCM(87156,87172) = 2² × 3⁴ × 269¹ × 19¹ × 31¹ × 37¹
LCM(87156,87172) = 1899390708