What is the Least Common Multiple of 51354 and 51369?

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 51354 and 51369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51354 and 51369, than apply into the LCM equation.

GCF(51354,51369) = 3
LCM(51354,51369) = ( 51354 × 51369) / 3
LCM(51354,51369) = 2638003626 / 3
LCM(51354,51369) = 879334542

Least Common Multiple (LCM) of 51354 and 51369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51354 and 51369. First we will calculate the prime factors of 51354 and 51369.

Prime Factorization of 51354

Prime Factorization of 51369

Now multiplying the highest exponent prime factors to calculate the LCM of 51354 and 51369.

LCM(51354,51369) = 2¹ × 3⁴ × 317¹ × 17123¹
LCM(51354,51369) = 879334542