What is the Least Common Multiple of 15420 and 15438?

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 15420 and 15438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15420 and 15438, than apply into the LCM equation.

GCF(15420,15438) = 6
LCM(15420,15438) = ( 15420 × 15438) / 6
LCM(15420,15438) = 238053960 / 6
LCM(15420,15438) = 39675660

Least Common Multiple (LCM) of 15420 and 15438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15420 and 15438. First we will calculate the prime factors of 15420 and 15438.

Prime Factorization of 15420

Prime Factorization of 15438

Now multiplying the highest exponent prime factors to calculate the LCM of 15420 and 15438.

LCM(15420,15438) = 2² × 3¹ × 5¹ × 257¹ × 31¹ × 83¹
LCM(15420,15438) = 39675660