What is the Least Common Multiple of 86274 and 86289?

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 86274 and 86289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86274 and 86289, than apply into the LCM equation.

GCF(86274,86289) = 3
LCM(86274,86289) = ( 86274 × 86289) / 3
LCM(86274,86289) = 7444497186 / 3
LCM(86274,86289) = 2481499062

Least Common Multiple (LCM) of 86274 and 86289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86274 and 86289. First we will calculate the prime factors of 86274 and 86289.

Prime Factorization of 86274

Prime Factorization of 86289

Now multiplying the highest exponent prime factors to calculate the LCM of 86274 and 86289.

LCM(86274,86289) = 2¹ × 3² × 4793¹ × 7² × 587¹
LCM(86274,86289) = 2481499062