What is the Least Common Multiple of 25424 and 25438?

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 25424 and 25438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25424 and 25438, than apply into the LCM equation.

GCF(25424,25438) = 14
LCM(25424,25438) = ( 25424 × 25438) / 14
LCM(25424,25438) = 646735712 / 14
LCM(25424,25438) = 46195408

Least Common Multiple (LCM) of 25424 and 25438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25424 and 25438. First we will calculate the prime factors of 25424 and 25438.

Prime Factorization of 25424

Prime Factorization of 25438

Now multiplying the highest exponent prime factors to calculate the LCM of 25424 and 25438.

LCM(25424,25438) = 2⁴ × 7¹ × 227¹ × 23¹ × 79¹
LCM(25424,25438) = 46195408