What is the Least Common Multiple of 30474 and 30492?

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 30474 and 30492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30474 and 30492, than apply into the LCM equation.

GCF(30474,30492) = 18
LCM(30474,30492) = ( 30474 × 30492) / 18
LCM(30474,30492) = 929213208 / 18
LCM(30474,30492) = 51622956

Least Common Multiple (LCM) of 30474 and 30492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30474 and 30492. First we will calculate the prime factors of 30474 and 30492.

Prime Factorization of 30474

Prime Factorization of 30492

Now multiplying the highest exponent prime factors to calculate the LCM of 30474 and 30492.

LCM(30474,30492) = 2² × 3² × 1693¹ × 7¹ × 11²
LCM(30474,30492) = 51622956