What is the Least Common Multiple of 51855 and 51869?

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 51855 and 51869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51855 and 51869, than apply into the LCM equation.

GCF(51855,51869) = 1
LCM(51855,51869) = ( 51855 × 51869) / 1
LCM(51855,51869) = 2689666995 / 1
LCM(51855,51869) = 2689666995

Least Common Multiple (LCM) of 51855 and 51869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51855 and 51869. First we will calculate the prime factors of 51855 and 51869.

Prime Factorization of 51855

Prime Factorization of 51869

Now multiplying the highest exponent prime factors to calculate the LCM of 51855 and 51869.

LCM(51855,51869) = 3¹ × 5¹ × 3457¹ × 51869¹
LCM(51855,51869) = 2689666995