What is the Least Common Multiple of 25416 and 25424?

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 25416 and 25424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25416 and 25424, than apply into the LCM equation.

GCF(25416,25424) = 8
LCM(25416,25424) = ( 25416 × 25424) / 8
LCM(25416,25424) = 646176384 / 8
LCM(25416,25424) = 80772048

Least Common Multiple (LCM) of 25416 and 25424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25416 and 25424. First we will calculate the prime factors of 25416 and 25424.

Prime Factorization of 25416

Prime Factorization of 25424

Now multiplying the highest exponent prime factors to calculate the LCM of 25416 and 25424.

LCM(25416,25424) = 2⁴ × 3² × 353¹ × 7¹ × 227¹
LCM(25416,25424) = 80772048