What is the Least Common Multiple of 30574 and 30580?

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 30574 and 30580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30574 and 30580, than apply into the LCM equation.

GCF(30574,30580) = 2
LCM(30574,30580) = ( 30574 × 30580) / 2
LCM(30574,30580) = 934952920 / 2
LCM(30574,30580) = 467476460

Least Common Multiple (LCM) of 30574 and 30580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30574 and 30580. First we will calculate the prime factors of 30574 and 30580.

Prime Factorization of 30574

Prime Factorization of 30580

Now multiplying the highest exponent prime factors to calculate the LCM of 30574 and 30580.

LCM(30574,30580) = 2² × 15287¹ × 5¹ × 11¹ × 139¹
LCM(30574,30580) = 467476460