What is the Least Common Multiple of 15348 and 15366?

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 15348 and 15366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15348 and 15366, than apply into the LCM equation.

GCF(15348,15366) = 6
LCM(15348,15366) = ( 15348 × 15366) / 6
LCM(15348,15366) = 235837368 / 6
LCM(15348,15366) = 39306228

Least Common Multiple (LCM) of 15348 and 15366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15348 and 15366. First we will calculate the prime factors of 15348 and 15366.

Prime Factorization of 15348

Prime Factorization of 15366

Now multiplying the highest exponent prime factors to calculate the LCM of 15348 and 15366.

LCM(15348,15366) = 2² × 3¹ × 1279¹ × 13¹ × 197¹
LCM(15348,15366) = 39306228