What is the Least Common Multiple of 25803 and 25821?

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 25803 and 25821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25803 and 25821, than apply into the LCM equation.

GCF(25803,25821) = 9
LCM(25803,25821) = ( 25803 × 25821) / 9
LCM(25803,25821) = 666259263 / 9
LCM(25803,25821) = 74028807

Least Common Multiple (LCM) of 25803 and 25821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25803 and 25821. First we will calculate the prime factors of 25803 and 25821.

Prime Factorization of 25803

Prime Factorization of 25821

Now multiplying the highest exponent prime factors to calculate the LCM of 25803 and 25821.

LCM(25803,25821) = 3² × 47¹ × 61¹ × 19¹ × 151¹
LCM(25803,25821) = 74028807