What is the Least Common Multiple of 86346 and 86354?

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 86346 and 86354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86346 and 86354, than apply into the LCM equation.

GCF(86346,86354) = 2
LCM(86346,86354) = ( 86346 × 86354) / 2
LCM(86346,86354) = 7456322484 / 2
LCM(86346,86354) = 3728161242

Least Common Multiple (LCM) of 86346 and 86354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86346 and 86354. First we will calculate the prime factors of 86346 and 86354.

Prime Factorization of 86346

Prime Factorization of 86354

Now multiplying the highest exponent prime factors to calculate the LCM of 86346 and 86354.

LCM(86346,86354) = 2¹ × 3⁴ × 13¹ × 41¹ × 43177¹
LCM(86346,86354) = 3728161242