What is the Least Common Multiple of 52449 and 52454?

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 52449 and 52454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52449 and 52454, than apply into the LCM equation.

GCF(52449,52454) = 1
LCM(52449,52454) = ( 52449 × 52454) / 1
LCM(52449,52454) = 2751159846 / 1
LCM(52449,52454) = 2751159846

Least Common Multiple (LCM) of 52449 and 52454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52449 and 52454. First we will calculate the prime factors of 52449 and 52454.

Prime Factorization of 52449

Prime Factorization of 52454

Now multiplying the highest exponent prime factors to calculate the LCM of 52449 and 52454.

LCM(52449,52454) = 3¹ × 17483¹ × 2¹ × 26227¹
LCM(52449,52454) = 2751159846