What is the Least Common Multiple of 86424 and 86434?

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 86434 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 86434, than apply into the LCM equation.

GCF(86424,86434) = 2
LCM(86424,86434) = ( 86424 × 86434) / 2
LCM(86424,86434) = 7469972016 / 2
LCM(86424,86434) = 3734986008

Least Common Multiple (LCM) of 86424 and 86434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86424 and 86434. First we will calculate the prime factors of 86424 and 86434.

Prime Factorization of 86424

Prime Factorization of 86434

Now multiplying the highest exponent prime factors to calculate the LCM of 86424 and 86434.

LCM(86424,86434) = 2³ × 3¹ × 13¹ × 277¹ × 23¹ × 1879¹
LCM(86424,86434) = 3734986008