What is the Least Common Multiple of 55782 and 55792?

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 55782 and 55792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55782 and 55792, than apply into the LCM equation.

GCF(55782,55792) = 2
LCM(55782,55792) = ( 55782 × 55792) / 2
LCM(55782,55792) = 3112189344 / 2
LCM(55782,55792) = 1556094672

Least Common Multiple (LCM) of 55782 and 55792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55782 and 55792. First we will calculate the prime factors of 55782 and 55792.

Prime Factorization of 55782

Prime Factorization of 55792

Now multiplying the highest exponent prime factors to calculate the LCM of 55782 and 55792.

LCM(55782,55792) = 2⁴ × 3³ × 1033¹ × 11¹ × 317¹
LCM(55782,55792) = 1556094672