What is the Least Common Multiple of 15384 and 15402?

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 15384 and 15402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15384 and 15402, than apply into the LCM equation.

GCF(15384,15402) = 6
LCM(15384,15402) = ( 15384 × 15402) / 6
LCM(15384,15402) = 236944368 / 6
LCM(15384,15402) = 39490728

Least Common Multiple (LCM) of 15384 and 15402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15384 and 15402. First we will calculate the prime factors of 15384 and 15402.

Prime Factorization of 15384

Prime Factorization of 15402

Now multiplying the highest exponent prime factors to calculate the LCM of 15384 and 15402.

LCM(15384,15402) = 2³ × 3¹ × 641¹ × 17¹ × 151¹
LCM(15384,15402) = 39490728