What is the Least Common Multiple of 86844 and 86862?

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 86844 and 86862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86844 and 86862, than apply into the LCM equation.

GCF(86844,86862) = 6
LCM(86844,86862) = ( 86844 × 86862) / 6
LCM(86844,86862) = 7543443528 / 6
LCM(86844,86862) = 1257240588

Least Common Multiple (LCM) of 86844 and 86862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86844 and 86862. First we will calculate the prime factors of 86844 and 86862.

Prime Factorization of 86844

Prime Factorization of 86862

Now multiplying the highest exponent prime factors to calculate the LCM of 86844 and 86862.

LCM(86844,86862) = 2² × 3¹ × 7237¹ × 31¹ × 467¹
LCM(86844,86862) = 1257240588