What is the Least Common Multiple of 25545 and 25563?

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 25563 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 25563, than apply into the LCM equation.

GCF(25545,25563) = 3
LCM(25545,25563) = ( 25545 × 25563) / 3
LCM(25545,25563) = 653006835 / 3
LCM(25545,25563) = 217668945

Least Common Multiple (LCM) of 25545 and 25563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25545 and 25563. First we will calculate the prime factors of 25545 and 25563.

Prime Factorization of 25545

Prime Factorization of 25563

Now multiplying the highest exponent prime factors to calculate the LCM of 25545 and 25563.

LCM(25545,25563) = 3¹ × 5¹ × 13¹ × 131¹ × 8521¹
LCM(25545,25563) = 217668945