What is the Least Common Multiple of 15392 and 15400?

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 15392 and 15400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15392 and 15400, than apply into the LCM equation.

GCF(15392,15400) = 8
LCM(15392,15400) = ( 15392 × 15400) / 8
LCM(15392,15400) = 237036800 / 8
LCM(15392,15400) = 29629600

Least Common Multiple (LCM) of 15392 and 15400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15392 and 15400. First we will calculate the prime factors of 15392 and 15400.

Prime Factorization of 15392

Prime Factorization of 15400

Now multiplying the highest exponent prime factors to calculate the LCM of 15392 and 15400.

LCM(15392,15400) = 2⁵ × 13¹ × 37¹ × 5² × 7¹ × 11¹
LCM(15392,15400) = 29629600