What is the Least Common Multiple of 87916 and 87934?

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 87916 and 87934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87916 and 87934, than apply into the LCM equation.

GCF(87916,87934) = 2
LCM(87916,87934) = ( 87916 × 87934) / 2
LCM(87916,87934) = 7730805544 / 2
LCM(87916,87934) = 3865402772

Least Common Multiple (LCM) of 87916 and 87934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87916 and 87934. First we will calculate the prime factors of 87916 and 87934.

Prime Factorization of 87916

Prime Factorization of 87934

Now multiplying the highest exponent prime factors to calculate the LCM of 87916 and 87934.

LCM(87916,87934) = 2² × 31¹ × 709¹ × 7¹ × 11¹ × 571¹
LCM(87916,87934) = 3865402772