GCF and LCM Calculator Logo

What is the Least Common Multiple of 30418 and 30434?

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 (LCM) of 30418 and 30434 is 462870706.

LCM(30418,30434) = 462870706

LCM Calculator and
and

Least Common Multiple of 30418 and 30434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30418 and 30434, than apply into the LCM equation.

GCF(30418,30434) = 2
LCM(30418,30434) = ( 30418 × 30434) / 2
LCM(30418,30434) = 925741412 / 2
LCM(30418,30434) = 462870706

Least Common Multiple (LCM) of 30418 and 30434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30418 and 30434. First we will calculate the prime factors of 30418 and 30434.

Prime Factorization of 30418

Prime factors of 30418 are 2, 67, 227. Prime factorization of 30418 in exponential form is:

30418 = 21 × 671 × 2271

Prime Factorization of 30434

Prime factors of 30434 are 2, 15217. Prime factorization of 30434 in exponential form is:

30434 = 21 × 152171

Now multiplying the highest exponent prime factors to calculate the LCM of 30418 and 30434.

LCM(30418,30434) = 21 × 671 × 2271 × 152171
LCM(30418,30434) = 462870706