What is the Least Common Multiple of 52546 and 52559?

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 52546 and 52559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52546 and 52559, than apply into the LCM equation.

GCF(52546,52559) = 13
LCM(52546,52559) = ( 52546 × 52559) / 13
LCM(52546,52559) = 2761765214 / 13
LCM(52546,52559) = 212443478

Least Common Multiple (LCM) of 52546 and 52559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52546 and 52559. First we will calculate the prime factors of 52546 and 52559.

Prime Factorization of 52546

Prime Factorization of 52559

Now multiplying the highest exponent prime factors to calculate the LCM of 52546 and 52559.

LCM(52546,52559) = 2¹ × 13² × 43¹ × 47¹ × 311¹
LCM(52546,52559) = 212443478