What is the Least Common Multiple of 32424 and 32437?

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 32424 and 32437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32424 and 32437, than apply into the LCM equation.

GCF(32424,32437) = 1
LCM(32424,32437) = ( 32424 × 32437) / 1
LCM(32424,32437) = 1051737288 / 1
LCM(32424,32437) = 1051737288

Least Common Multiple (LCM) of 32424 and 32437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32424 and 32437. First we will calculate the prime factors of 32424 and 32437.

Prime Factorization of 32424

Prime Factorization of 32437

Now multiplying the highest exponent prime factors to calculate the LCM of 32424 and 32437.

LCM(32424,32437) = 2³ × 3¹ × 7¹ × 193¹ × 163¹ × 199¹
LCM(32424,32437) = 1051737288