What is the Least Common Multiple of 87606 and 87622?

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 87606 and 87622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87606 and 87622, than apply into the LCM equation.

GCF(87606,87622) = 2
LCM(87606,87622) = ( 87606 × 87622) / 2
LCM(87606,87622) = 7676212932 / 2
LCM(87606,87622) = 3838106466

Least Common Multiple (LCM) of 87606 and 87622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87606 and 87622. First we will calculate the prime factors of 87606 and 87622.

Prime Factorization of 87606

Prime Factorization of 87622

Now multiplying the highest exponent prime factors to calculate the LCM of 87606 and 87622.

LCM(87606,87622) = 2¹ × 3² × 31¹ × 157¹ × 193¹ × 227¹
LCM(87606,87622) = 3838106466