What is the Least Common Multiple of 17772 and 17792?

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 17772 and 17792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17772 and 17792, than apply into the LCM equation.

GCF(17772,17792) = 4
LCM(17772,17792) = ( 17772 × 17792) / 4
LCM(17772,17792) = 316199424 / 4
LCM(17772,17792) = 79049856

Least Common Multiple (LCM) of 17772 and 17792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17772 and 17792. First we will calculate the prime factors of 17772 and 17792.

Prime Factorization of 17772

Prime Factorization of 17792

Now multiplying the highest exponent prime factors to calculate the LCM of 17772 and 17792.

LCM(17772,17792) = 2⁷ × 3¹ × 1481¹ × 139¹
LCM(17772,17792) = 79049856