What is the Least Common Multiple of 87738 and 87754?

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 87738 and 87754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87738 and 87754, than apply into the LCM equation.

GCF(87738,87754) = 2
LCM(87738,87754) = ( 87738 × 87754) / 2
LCM(87738,87754) = 7699360452 / 2
LCM(87738,87754) = 3849680226

Least Common Multiple (LCM) of 87738 and 87754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87738 and 87754. First we will calculate the prime factors of 87738 and 87754.

Prime Factorization of 87738

Prime Factorization of 87754

Now multiplying the highest exponent prime factors to calculate the LCM of 87738 and 87754.

LCM(87738,87754) = 2¹ × 3¹ × 7¹ × 2089¹ × 17¹ × 29¹ × 89¹
LCM(87738,87754) = 3849680226