What is the Least Common Multiple of 55424 and 55438?

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 55424 and 55438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55424 and 55438, than apply into the LCM equation.

GCF(55424,55438) = 2
LCM(55424,55438) = ( 55424 × 55438) / 2
LCM(55424,55438) = 3072595712 / 2
LCM(55424,55438) = 1536297856

Least Common Multiple (LCM) of 55424 and 55438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55424 and 55438. First we will calculate the prime factors of 55424 and 55438.

Prime Factorization of 55424

Prime Factorization of 55438

Now multiplying the highest exponent prime factors to calculate the LCM of 55424 and 55438.

LCM(55424,55438) = 2⁷ × 433¹ × 53¹ × 523¹
LCM(55424,55438) = 1536297856