What is the Least Common Multiple of 30800 and 30820?

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 30800 and 30820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30800 and 30820, than apply into the LCM equation.

GCF(30800,30820) = 20
LCM(30800,30820) = ( 30800 × 30820) / 20
LCM(30800,30820) = 949256000 / 20
LCM(30800,30820) = 47462800

Least Common Multiple (LCM) of 30800 and 30820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30800 and 30820. First we will calculate the prime factors of 30800 and 30820.

Prime Factorization of 30800

Prime Factorization of 30820

Now multiplying the highest exponent prime factors to calculate the LCM of 30800 and 30820.

LCM(30800,30820) = 2⁴ × 5² × 7¹ × 11¹ × 23¹ × 67¹
LCM(30800,30820) = 47462800