What is the Least Common Multiple of 86775 and 86795?

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 86795 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 86795, than apply into the LCM equation.

GCF(86775,86795) = 5
LCM(86775,86795) = ( 86775 × 86795) / 5
LCM(86775,86795) = 7531636125 / 5
LCM(86775,86795) = 1506327225

Least Common Multiple (LCM) of 86775 and 86795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86775 and 86795. First we will calculate the prime factors of 86775 and 86795.

Prime Factorization of 86775

Prime Factorization of 86795

Now multiplying the highest exponent prime factors to calculate the LCM of 86775 and 86795.

LCM(86775,86795) = 3¹ × 5² × 13¹ × 89¹ × 17359¹
LCM(86775,86795) = 1506327225