What is the Least Common Multiple of 19792 and 19808?

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 19792 and 19808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19792 and 19808, than apply into the LCM equation.

GCF(19792,19808) = 16
LCM(19792,19808) = ( 19792 × 19808) / 16
LCM(19792,19808) = 392039936 / 16
LCM(19792,19808) = 24502496

Least Common Multiple (LCM) of 19792 and 19808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19792 and 19808. First we will calculate the prime factors of 19792 and 19808.

Prime Factorization of 19792

Prime Factorization of 19808

Now multiplying the highest exponent prime factors to calculate the LCM of 19792 and 19808.

LCM(19792,19808) = 2⁵ × 1237¹ × 619¹
LCM(19792,19808) = 24502496