What is the Least Common Multiple of 87933 and 87947?

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 87933 and 87947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87933 and 87947, than apply into the LCM equation.

GCF(87933,87947) = 1
LCM(87933,87947) = ( 87933 × 87947) / 1
LCM(87933,87947) = 7733443551 / 1
LCM(87933,87947) = 7733443551

Least Common Multiple (LCM) of 87933 and 87947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87933 and 87947. First we will calculate the prime factors of 87933 and 87947.

Prime Factorization of 87933

Prime Factorization of 87947

Now multiplying the highest exponent prime factors to calculate the LCM of 87933 and 87947.

LCM(87933,87947) = 3¹ × 29311¹ × 31¹ × 2837¹
LCM(87933,87947) = 7733443551