What is the Least Common Multiple of 55406 and 55424?

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 55406 and 55424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55406 and 55424, than apply into the LCM equation.

GCF(55406,55424) = 2
LCM(55406,55424) = ( 55406 × 55424) / 2
LCM(55406,55424) = 3070822144 / 2
LCM(55406,55424) = 1535411072

Least Common Multiple (LCM) of 55406 and 55424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55406 and 55424. First we will calculate the prime factors of 55406 and 55424.

Prime Factorization of 55406

Prime Factorization of 55424

Now multiplying the highest exponent prime factors to calculate the LCM of 55406 and 55424.

LCM(55406,55424) = 2⁷ × 13¹ × 2131¹ × 433¹
LCM(55406,55424) = 1535411072