What is the Least Common Multiple of 51774 and 51792?

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 51774 and 51792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51774 and 51792, than apply into the LCM equation.

GCF(51774,51792) = 6
LCM(51774,51792) = ( 51774 × 51792) / 6
LCM(51774,51792) = 2681479008 / 6
LCM(51774,51792) = 446913168

Least Common Multiple (LCM) of 51774 and 51792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51774 and 51792. First we will calculate the prime factors of 51774 and 51792.

Prime Factorization of 51774

Prime Factorization of 51792

Now multiplying the highest exponent prime factors to calculate the LCM of 51774 and 51792.

LCM(51774,51792) = 2⁴ × 3¹ × 8629¹ × 13¹ × 83¹
LCM(51774,51792) = 446913168