What is the Least Common Multiple of 19312 and 19320?

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 19312 and 19320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19312 and 19320, than apply into the LCM equation.

GCF(19312,19320) = 8
LCM(19312,19320) = ( 19312 × 19320) / 8
LCM(19312,19320) = 373107840 / 8
LCM(19312,19320) = 46638480

Least Common Multiple (LCM) of 19312 and 19320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19312 and 19320. First we will calculate the prime factors of 19312 and 19320.

Prime Factorization of 19312

Prime Factorization of 19320

Now multiplying the highest exponent prime factors to calculate the LCM of 19312 and 19320.

LCM(19312,19320) = 2⁴ × 17¹ × 71¹ × 3¹ × 5¹ × 7¹ × 23¹
LCM(19312,19320) = 46638480