What is the Least Common Multiple of 25424 and 25437?

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 25437 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 25437, than apply into the LCM equation.

GCF(25424,25437) = 1
LCM(25424,25437) = ( 25424 × 25437) / 1
LCM(25424,25437) = 646710288 / 1
LCM(25424,25437) = 646710288

Least Common Multiple (LCM) of 25424 and 25437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25424 and 25437. First we will calculate the prime factors of 25424 and 25437.

Prime Factorization of 25424

Prime Factorization of 25437

Now multiplying the highest exponent prime factors to calculate the LCM of 25424 and 25437.

LCM(25424,25437) = 2⁴ × 7¹ × 227¹ × 3¹ × 61¹ × 139¹
LCM(25424,25437) = 646710288