What is the Least Common Multiple of 19792 and 19799?

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 19799 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 19799, than apply into the LCM equation.

GCF(19792,19799) = 1
LCM(19792,19799) = ( 19792 × 19799) / 1
LCM(19792,19799) = 391861808 / 1
LCM(19792,19799) = 391861808

Least Common Multiple (LCM) of 19792 and 19799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19792 and 19799. First we will calculate the prime factors of 19792 and 19799.

Prime Factorization of 19792

Prime Factorization of 19799

Now multiplying the highest exponent prime factors to calculate the LCM of 19792 and 19799.

LCM(19792,19799) = 2⁴ × 1237¹ × 13¹ × 1523¹
LCM(19792,19799) = 391861808