What is the Least Common Multiple of 51439 and 51454?

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 51439 and 51454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51439 and 51454, than apply into the LCM equation.

GCF(51439,51454) = 1
LCM(51439,51454) = ( 51439 × 51454) / 1
LCM(51439,51454) = 2646742306 / 1
LCM(51439,51454) = 2646742306

Least Common Multiple (LCM) of 51439 and 51454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51439 and 51454. First we will calculate the prime factors of 51439 and 51454.

Prime Factorization of 51439

Prime Factorization of 51454

Now multiplying the highest exponent prime factors to calculate the LCM of 51439 and 51454.

LCM(51439,51454) = 51439¹ × 2¹ × 13¹ × 1979¹
LCM(51439,51454) = 2646742306