What is the Least Common Multiple of 19320 and 19328?

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 19320 and 19328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19320 and 19328, than apply into the LCM equation.

GCF(19320,19328) = 8
LCM(19320,19328) = ( 19320 × 19328) / 8
LCM(19320,19328) = 373416960 / 8
LCM(19320,19328) = 46677120

Least Common Multiple (LCM) of 19320 and 19328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19320 and 19328. First we will calculate the prime factors of 19320 and 19328.

Prime Factorization of 19320

Prime Factorization of 19328

Now multiplying the highest exponent prime factors to calculate the LCM of 19320 and 19328.

LCM(19320,19328) = 2⁷ × 3¹ × 5¹ × 7¹ × 23¹ × 151¹
LCM(19320,19328) = 46677120