What is the Least Common Multiple of 19368 and 19376?

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 19368 and 19376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19368 and 19376, than apply into the LCM equation.

GCF(19368,19376) = 8
LCM(19368,19376) = ( 19368 × 19376) / 8
LCM(19368,19376) = 375274368 / 8
LCM(19368,19376) = 46909296

Least Common Multiple (LCM) of 19368 and 19376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19368 and 19376. First we will calculate the prime factors of 19368 and 19376.

Prime Factorization of 19368

Prime Factorization of 19376

Now multiplying the highest exponent prime factors to calculate the LCM of 19368 and 19376.

LCM(19368,19376) = 2⁴ × 3² × 269¹ × 7¹ × 173¹
LCM(19368,19376) = 46909296