What is the Least Common Multiple of 30549 and 30565?

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 30549 and 30565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30549 and 30565, than apply into the LCM equation.

GCF(30549,30565) = 1
LCM(30549,30565) = ( 30549 × 30565) / 1
LCM(30549,30565) = 933730185 / 1
LCM(30549,30565) = 933730185

Least Common Multiple (LCM) of 30549 and 30565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30549 and 30565. First we will calculate the prime factors of 30549 and 30565.

Prime Factorization of 30549

Prime Factorization of 30565

Now multiplying the highest exponent prime factors to calculate the LCM of 30549 and 30565.

LCM(30549,30565) = 3¹ × 17¹ × 599¹ × 5¹ × 6113¹
LCM(30549,30565) = 933730185