What is the Least Common Multiple of 30398 and 30411?

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 30398 and 30411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30398 and 30411, than apply into the LCM equation.

GCF(30398,30411) = 1
LCM(30398,30411) = ( 30398 × 30411) / 1
LCM(30398,30411) = 924433578 / 1
LCM(30398,30411) = 924433578

Least Common Multiple (LCM) of 30398 and 30411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30398 and 30411. First we will calculate the prime factors of 30398 and 30411.

Prime Factorization of 30398

Prime Factorization of 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 30398 and 30411.

LCM(30398,30411) = 2¹ × 15199¹ × 3² × 31¹ × 109¹
LCM(30398,30411) = 924433578