What is the Least Common Multiple of 25980 and 25992?

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 25980 and 25992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25980 and 25992, than apply into the LCM equation.

GCF(25980,25992) = 12
LCM(25980,25992) = ( 25980 × 25992) / 12
LCM(25980,25992) = 675272160 / 12
LCM(25980,25992) = 56272680

Least Common Multiple (LCM) of 25980 and 25992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25980 and 25992. First we will calculate the prime factors of 25980 and 25992.

Prime Factorization of 25980

Prime Factorization of 25992

Now multiplying the highest exponent prime factors to calculate the LCM of 25980 and 25992.

LCM(25980,25992) = 2³ × 3² × 5¹ × 433¹ × 19²
LCM(25980,25992) = 56272680