What is the Least Common Multiple of 19456 and 19464?

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 19456 and 19464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19456 and 19464, than apply into the LCM equation.

GCF(19456,19464) = 8
LCM(19456,19464) = ( 19456 × 19464) / 8
LCM(19456,19464) = 378691584 / 8
LCM(19456,19464) = 47336448

Least Common Multiple (LCM) of 19456 and 19464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19456 and 19464. First we will calculate the prime factors of 19456 and 19464.

Prime Factorization of 19456

Prime Factorization of 19464

Now multiplying the highest exponent prime factors to calculate the LCM of 19456 and 19464.

LCM(19456,19464) = 2¹⁰ × 19¹ × 3¹ × 811¹
LCM(19456,19464) = 47336448