What is the Least Common Multiple of 30760 and 30775?

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 30760 and 30775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30760 and 30775, than apply into the LCM equation.

GCF(30760,30775) = 5
LCM(30760,30775) = ( 30760 × 30775) / 5
LCM(30760,30775) = 946639000 / 5
LCM(30760,30775) = 189327800

Least Common Multiple (LCM) of 30760 and 30775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30760 and 30775. First we will calculate the prime factors of 30760 and 30775.

Prime Factorization of 30760

Prime Factorization of 30775

Now multiplying the highest exponent prime factors to calculate the LCM of 30760 and 30775.

LCM(30760,30775) = 2³ × 5² × 769¹ × 1231¹
LCM(30760,30775) = 189327800