What is the Least Common Multiple of 87546 and 87556?

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 87546 and 87556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87546 and 87556, than apply into the LCM equation.

GCF(87546,87556) = 2
LCM(87546,87556) = ( 87546 × 87556) / 2
LCM(87546,87556) = 7665177576 / 2
LCM(87546,87556) = 3832588788

Least Common Multiple (LCM) of 87546 and 87556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87546 and 87556. First we will calculate the prime factors of 87546 and 87556.

Prime Factorization of 87546

Prime Factorization of 87556

Now multiplying the highest exponent prime factors to calculate the LCM of 87546 and 87556.

LCM(87546,87556) = 2² × 3¹ × 14591¹ × 7¹ × 53¹ × 59¹
LCM(87546,87556) = 3832588788