What is the Least Common Multiple of 86368 and 86388?

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 86368 and 86388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86368 and 86388, than apply into the LCM equation.

GCF(86368,86388) = 4
LCM(86368,86388) = ( 86368 × 86388) / 4
LCM(86368,86388) = 7461158784 / 4
LCM(86368,86388) = 1865289696

Least Common Multiple (LCM) of 86368 and 86388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86368 and 86388. First we will calculate the prime factors of 86368 and 86388.

Prime Factorization of 86368

Prime Factorization of 86388

Now multiplying the highest exponent prime factors to calculate the LCM of 86368 and 86388.

LCM(86368,86388) = 2⁵ × 2699¹ × 3¹ × 23¹ × 313¹
LCM(86368,86388) = 1865289696