What is the Least Common Multiple of 19774 and 19792?

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 19774 and 19792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19774 and 19792, than apply into the LCM equation.

GCF(19774,19792) = 2
LCM(19774,19792) = ( 19774 × 19792) / 2
LCM(19774,19792) = 391367008 / 2
LCM(19774,19792) = 195683504

Least Common Multiple (LCM) of 19774 and 19792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19774 and 19792. First we will calculate the prime factors of 19774 and 19792.

Prime Factorization of 19774

Prime Factorization of 19792

Now multiplying the highest exponent prime factors to calculate the LCM of 19774 and 19792.

LCM(19774,19792) = 2⁴ × 9887¹ × 1237¹
LCM(19774,19792) = 195683504