What is the Least Common Multiple of 51783 and 51795?

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 51795 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 51795, than apply into the LCM equation.

GCF(51783,51795) = 3
LCM(51783,51795) = ( 51783 × 51795) / 3
LCM(51783,51795) = 2682100485 / 3
LCM(51783,51795) = 894033495

Least Common Multiple (LCM) of 51783 and 51795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51783 and 51795. First we will calculate the prime factors of 51783 and 51795.

Prime Factorization of 51783

Prime Factorization of 51795

Now multiplying the highest exponent prime factors to calculate the LCM of 51783 and 51795.

LCM(51783,51795) = 3² × 41¹ × 421¹ × 5¹ × 1151¹
LCM(51783,51795) = 894033495