What is the Least Common Multiple of 86671 and 86684?

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 86671 and 86684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86671 and 86684, than apply into the LCM equation.

GCF(86671,86684) = 13
LCM(86671,86684) = ( 86671 × 86684) / 13
LCM(86671,86684) = 7512988964 / 13
LCM(86671,86684) = 577922228

Least Common Multiple (LCM) of 86671 and 86684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86671 and 86684. First we will calculate the prime factors of 86671 and 86684.

Prime Factorization of 86671

Prime Factorization of 86684

Now multiplying the highest exponent prime factors to calculate the LCM of 86671 and 86684.

LCM(86671,86684) = 13¹ × 59¹ × 113¹ × 2² × 1667¹
LCM(86671,86684) = 577922228