What is the Least Common Multiple of 87688 and 87706?

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 87688 and 87706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87688 and 87706, than apply into the LCM equation.

GCF(87688,87706) = 2
LCM(87688,87706) = ( 87688 × 87706) / 2
LCM(87688,87706) = 7690763728 / 2
LCM(87688,87706) = 3845381864

Least Common Multiple (LCM) of 87688 and 87706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87688 and 87706. First we will calculate the prime factors of 87688 and 87706.

Prime Factorization of 87688

Prime Factorization of 87706

Now multiplying the highest exponent prime factors to calculate the LCM of 87688 and 87706.

LCM(87688,87706) = 2³ × 97¹ × 113¹ × 43853¹
LCM(87688,87706) = 3845381864