What is the Least Common Multiple of 51878 and 51897?

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 51878 and 51897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51878 and 51897, than apply into the LCM equation.

GCF(51878,51897) = 1
LCM(51878,51897) = ( 51878 × 51897) / 1
LCM(51878,51897) = 2692312566 / 1
LCM(51878,51897) = 2692312566

Least Common Multiple (LCM) of 51878 and 51897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51878 and 51897. First we will calculate the prime factors of 51878 and 51897.

Prime Factorization of 51878

Prime Factorization of 51897

Now multiplying the highest exponent prime factors to calculate the LCM of 51878 and 51897.

LCM(51878,51897) = 2¹ × 25939¹ × 3¹ × 17299¹
LCM(51878,51897) = 2692312566