What is the Least Common Multiple of 86013 and 86032?

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 86013 and 86032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86013 and 86032, than apply into the LCM equation.

GCF(86013,86032) = 19
LCM(86013,86032) = ( 86013 × 86032) / 19
LCM(86013,86032) = 7399870416 / 19
LCM(86013,86032) = 389466864

Least Common Multiple (LCM) of 86013 and 86032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86013 and 86032. First we will calculate the prime factors of 86013 and 86032.

Prime Factorization of 86013

Prime Factorization of 86032

Now multiplying the highest exponent prime factors to calculate the LCM of 86013 and 86032.

LCM(86013,86032) = 3² × 19¹ × 503¹ × 2⁴ × 283¹
LCM(86013,86032) = 389466864