What is the Least Common Multiple of 25455 and 25473?

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 25455 and 25473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25455 and 25473, than apply into the LCM equation.

GCF(25455,25473) = 3
LCM(25455,25473) = ( 25455 × 25473) / 3
LCM(25455,25473) = 648415215 / 3
LCM(25455,25473) = 216138405

Least Common Multiple (LCM) of 25455 and 25473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25455 and 25473. First we will calculate the prime factors of 25455 and 25473.

Prime Factorization of 25455

Prime Factorization of 25473

Now multiplying the highest exponent prime factors to calculate the LCM of 25455 and 25473.

LCM(25455,25473) = 3¹ × 5¹ × 1697¹ × 7¹ × 1213¹
LCM(25455,25473) = 216138405