What is the Least Common Multiple of 25830 and 25836?

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 25830 and 25836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25830 and 25836, than apply into the LCM equation.

GCF(25830,25836) = 6
LCM(25830,25836) = ( 25830 × 25836) / 6
LCM(25830,25836) = 667343880 / 6
LCM(25830,25836) = 111223980

Least Common Multiple (LCM) of 25830 and 25836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25830 and 25836. First we will calculate the prime factors of 25830 and 25836.

Prime Factorization of 25830

Prime Factorization of 25836

Now multiplying the highest exponent prime factors to calculate the LCM of 25830 and 25836.

LCM(25830,25836) = 2² × 3² × 5¹ × 7¹ × 41¹ × 2153¹
LCM(25830,25836) = 111223980