What is the Least Common Multiple of 86334 and 86352?

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 86334 and 86352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86334 and 86352, than apply into the LCM equation.

GCF(86334,86352) = 6
LCM(86334,86352) = ( 86334 × 86352) / 6
LCM(86334,86352) = 7455113568 / 6
LCM(86334,86352) = 1242518928

Least Common Multiple (LCM) of 86334 and 86352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86334 and 86352. First we will calculate the prime factors of 86334 and 86352.

Prime Factorization of 86334

Prime Factorization of 86352

Now multiplying the highest exponent prime factors to calculate the LCM of 86334 and 86352.

LCM(86334,86352) = 2⁴ × 3¹ × 14389¹ × 7¹ × 257¹
LCM(86334,86352) = 1242518928