What is the Least Common Multiple of 30384 and 30402?

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 30384 and 30402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30384 and 30402, than apply into the LCM equation.

GCF(30384,30402) = 18
LCM(30384,30402) = ( 30384 × 30402) / 18
LCM(30384,30402) = 923734368 / 18
LCM(30384,30402) = 51318576

Least Common Multiple (LCM) of 30384 and 30402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30384 and 30402. First we will calculate the prime factors of 30384 and 30402.

Prime Factorization of 30384

Prime Factorization of 30402

Now multiplying the highest exponent prime factors to calculate the LCM of 30384 and 30402.

LCM(30384,30402) = 2⁴ × 3³ × 211¹ × 563¹
LCM(30384,30402) = 51318576