What is the Least Common Multiple of 86775 and 86782?

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 86775 and 86782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86775 and 86782, than apply into the LCM equation.

GCF(86775,86782) = 1
LCM(86775,86782) = ( 86775 × 86782) / 1
LCM(86775,86782) = 7530508050 / 1
LCM(86775,86782) = 7530508050

Least Common Multiple (LCM) of 86775 and 86782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86775 and 86782. First we will calculate the prime factors of 86775 and 86782.

Prime Factorization of 86775

Prime Factorization of 86782

Now multiplying the highest exponent prime factors to calculate the LCM of 86775 and 86782.

LCM(86775,86782) = 3¹ × 5² × 13¹ × 89¹ × 2¹ × 43391¹
LCM(86775,86782) = 7530508050