What is the Least Common Multiple of 25545 and 25558?

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 25545 and 25558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25545 and 25558, than apply into the LCM equation.

GCF(25545,25558) = 13
LCM(25545,25558) = ( 25545 × 25558) / 13
LCM(25545,25558) = 652879110 / 13
LCM(25545,25558) = 50221470

Least Common Multiple (LCM) of 25545 and 25558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25545 and 25558. First we will calculate the prime factors of 25545 and 25558.

Prime Factorization of 25545

Prime Factorization of 25558

Now multiplying the highest exponent prime factors to calculate the LCM of 25545 and 25558.

LCM(25545,25558) = 3¹ × 5¹ × 13¹ × 131¹ × 2¹ × 983¹
LCM(25545,25558) = 50221470