What is the Least Common Multiple of 86288 and 86301?

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 86288 and 86301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86288 and 86301, than apply into the LCM equation.

GCF(86288,86301) = 1
LCM(86288,86301) = ( 86288 × 86301) / 1
LCM(86288,86301) = 7446740688 / 1
LCM(86288,86301) = 7446740688

Least Common Multiple (LCM) of 86288 and 86301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86288 and 86301. First we will calculate the prime factors of 86288 and 86301.

Prime Factorization of 86288

Prime Factorization of 86301

Now multiplying the highest exponent prime factors to calculate the LCM of 86288 and 86301.

LCM(86288,86301) = 2⁴ × 5393¹ × 3² × 43¹ × 223¹
LCM(86288,86301) = 7446740688