What is the Least Common Multiple of 30441 and 30447?

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 30441 and 30447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30441 and 30447, than apply into the LCM equation.

GCF(30441,30447) = 3
LCM(30441,30447) = ( 30441 × 30447) / 3
LCM(30441,30447) = 926837127 / 3
LCM(30441,30447) = 308945709

Least Common Multiple (LCM) of 30441 and 30447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30441 and 30447. First we will calculate the prime factors of 30441 and 30447.

Prime Factorization of 30441

Prime Factorization of 30447

Now multiplying the highest exponent prime factors to calculate the LCM of 30441 and 30447.

LCM(30441,30447) = 3² × 73¹ × 139¹ × 17¹ × 199¹
LCM(30441,30447) = 308945709