What is the Least Common Multiple of 86424 and 86440?

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 86424 and 86440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86424 and 86440, than apply into the LCM equation.

GCF(86424,86440) = 8
LCM(86424,86440) = ( 86424 × 86440) / 8
LCM(86424,86440) = 7470490560 / 8
LCM(86424,86440) = 933811320

Least Common Multiple (LCM) of 86424 and 86440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86424 and 86440. First we will calculate the prime factors of 86424 and 86440.

Prime Factorization of 86424

Prime Factorization of 86440

Now multiplying the highest exponent prime factors to calculate the LCM of 86424 and 86440.

LCM(86424,86440) = 2³ × 3¹ × 13¹ × 277¹ × 5¹ × 2161¹
LCM(86424,86440) = 933811320