What is the Least Common Multiple of 30530 and 30541?

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 30530 and 30541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30530 and 30541, than apply into the LCM equation.

GCF(30530,30541) = 1
LCM(30530,30541) = ( 30530 × 30541) / 1
LCM(30530,30541) = 932416730 / 1
LCM(30530,30541) = 932416730

Least Common Multiple (LCM) of 30530 and 30541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30530 and 30541. First we will calculate the prime factors of 30530 and 30541.

Prime Factorization of 30530

Prime Factorization of 30541

Now multiplying the highest exponent prime factors to calculate the LCM of 30530 and 30541.

LCM(30530,30541) = 2¹ × 5¹ × 43¹ × 71¹ × 7¹ × 4363¹
LCM(30530,30541) = 932416730