What is the Least Common Multiple of 51789 and 51793?

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 51789 and 51793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51789 and 51793, than apply into the LCM equation.

GCF(51789,51793) = 1
LCM(51789,51793) = ( 51789 × 51793) / 1
LCM(51789,51793) = 2682307677 / 1
LCM(51789,51793) = 2682307677

Least Common Multiple (LCM) of 51789 and 51793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51789 and 51793. First we will calculate the prime factors of 51789 and 51793.

Prime Factorization of 51789

Prime Factorization of 51793

Now multiplying the highest exponent prime factors to calculate the LCM of 51789 and 51793.

LCM(51789,51793) = 3¹ × 61¹ × 283¹ × 7³ × 151¹
LCM(51789,51793) = 2682307677