What is the Least Common Multiple of 86036 and 86042?

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 86036 and 86042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86036 and 86042, than apply into the LCM equation.

GCF(86036,86042) = 2
LCM(86036,86042) = ( 86036 × 86042) / 2
LCM(86036,86042) = 7402709512 / 2
LCM(86036,86042) = 3701354756

Least Common Multiple (LCM) of 86036 and 86042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86036 and 86042. First we will calculate the prime factors of 86036 and 86042.

Prime Factorization of 86036

Prime Factorization of 86042

Now multiplying the highest exponent prime factors to calculate the LCM of 86036 and 86042.

LCM(86036,86042) = 2² × 137¹ × 157¹ × 11¹ × 3911¹
LCM(86036,86042) = 3701354756