What is the Least Common Multiple of 25438 and 25456?

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 25438 and 25456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25438 and 25456, than apply into the LCM equation.

GCF(25438,25456) = 2
LCM(25438,25456) = ( 25438 × 25456) / 2
LCM(25438,25456) = 647549728 / 2
LCM(25438,25456) = 323774864

Least Common Multiple (LCM) of 25438 and 25456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25438 and 25456. First we will calculate the prime factors of 25438 and 25456.

Prime Factorization of 25438

Prime Factorization of 25456

Now multiplying the highest exponent prime factors to calculate the LCM of 25438 and 25456.

LCM(25438,25456) = 2⁴ × 7¹ × 23¹ × 79¹ × 37¹ × 43¹
LCM(25438,25456) = 323774864