What is the Least Common Multiple of 86518 and 86536?

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 86518 and 86536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86518 and 86536, than apply into the LCM equation.

GCF(86518,86536) = 2
LCM(86518,86536) = ( 86518 × 86536) / 2
LCM(86518,86536) = 7486921648 / 2
LCM(86518,86536) = 3743460824

Least Common Multiple (LCM) of 86518 and 86536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86518 and 86536. First we will calculate the prime factors of 86518 and 86536.

Prime Factorization of 86518

Prime Factorization of 86536

Now multiplying the highest exponent prime factors to calculate the LCM of 86518 and 86536.

LCM(86518,86536) = 2³ × 181¹ × 239¹ × 29¹ × 373¹
LCM(86518,86536) = 3743460824