What is the Least Common Multiple of 25430 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 25430 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 25430 and 25438, than apply into the LCM equation.

GCF(25430,25438) = 2
LCM(25430,25438) = ( 25430 × 25438) / 2
LCM(25430,25438) = 646888340 / 2
LCM(25430,25438) = 323444170

Least Common Multiple (LCM) of 25430 and 25438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25430 and 25438. First we will calculate the prime factors of 25430 and 25438.

Prime Factorization of 25430

Prime Factorization of 25438

Now multiplying the highest exponent prime factors to calculate the LCM of 25430 and 25438.

LCM(25430,25438) = 2¹ × 5¹ × 2543¹ × 7¹ × 23¹ × 79¹
LCM(25430,25438) = 323444170