What is the Least Common Multiple of 59424 and 59438?

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 59424 and 59438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59424 and 59438, than apply into the LCM equation.

GCF(59424,59438) = 2
LCM(59424,59438) = ( 59424 × 59438) / 2
LCM(59424,59438) = 3532043712 / 2
LCM(59424,59438) = 1766021856

Least Common Multiple (LCM) of 59424 and 59438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59424 and 59438. First we will calculate the prime factors of 59424 and 59438.

Prime Factorization of 59424

Prime Factorization of 59438

Now multiplying the highest exponent prime factors to calculate the LCM of 59424 and 59438.

LCM(59424,59438) = 2⁵ × 3¹ × 619¹ × 113¹ × 263¹
LCM(59424,59438) = 1766021856