What is the Least Common Multiple of 51810 and 51819?

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 51810 and 51819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51810 and 51819, than apply into the LCM equation.

GCF(51810,51819) = 3
LCM(51810,51819) = ( 51810 × 51819) / 3
LCM(51810,51819) = 2684742390 / 3
LCM(51810,51819) = 894914130

Least Common Multiple (LCM) of 51810 and 51819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51810 and 51819. First we will calculate the prime factors of 51810 and 51819.

Prime Factorization of 51810

Prime Factorization of 51819

Now multiplying the highest exponent prime factors to calculate the LCM of 51810 and 51819.

LCM(51810,51819) = 2¹ × 3¹ × 5¹ × 11¹ × 157¹ × 23¹ × 751¹
LCM(51810,51819) = 894914130