What is the Least Common Multiple of 25833 and 25842?

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 25833 and 25842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25833 and 25842, than apply into the LCM equation.

GCF(25833,25842) = 3
LCM(25833,25842) = ( 25833 × 25842) / 3
LCM(25833,25842) = 667576386 / 3
LCM(25833,25842) = 222525462

Least Common Multiple (LCM) of 25833 and 25842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25833 and 25842. First we will calculate the prime factors of 25833 and 25842.

Prime Factorization of 25833

Prime Factorization of 25842

Now multiplying the highest exponent prime factors to calculate the LCM of 25833 and 25842.

LCM(25833,25842) = 3¹ × 79¹ × 109¹ × 2¹ × 59¹ × 73¹
LCM(25833,25842) = 222525462