What is the Least Common Multiple of 51783 and 51798?

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 51783 and 51798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51783 and 51798, than apply into the LCM equation.

GCF(51783,51798) = 3
LCM(51783,51798) = ( 51783 × 51798) / 3
LCM(51783,51798) = 2682255834 / 3
LCM(51783,51798) = 894085278

Least Common Multiple (LCM) of 51783 and 51798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51783 and 51798. First we will calculate the prime factors of 51783 and 51798.

Prime Factorization of 51783

Prime Factorization of 51798

Now multiplying the highest exponent prime factors to calculate the LCM of 51783 and 51798.

LCM(51783,51798) = 3¹ × 41¹ × 421¹ × 2¹ × 89¹ × 97¹
LCM(51783,51798) = 894085278