What is the Least Common Multiple of 87775 and 87793?

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 87775 and 87793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87775 and 87793, than apply into the LCM equation.

GCF(87775,87793) = 1
LCM(87775,87793) = ( 87775 × 87793) / 1
LCM(87775,87793) = 7706030575 / 1
LCM(87775,87793) = 7706030575

Least Common Multiple (LCM) of 87775 and 87793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87775 and 87793. First we will calculate the prime factors of 87775 and 87793.

Prime Factorization of 87775

Prime Factorization of 87793

Now multiplying the highest exponent prime factors to calculate the LCM of 87775 and 87793.

LCM(87775,87793) = 5² × 3511¹ × 87793¹
LCM(87775,87793) = 7706030575