What is the Least Common Multiple of 55924 and 55928?

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 55924 and 55928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55924 and 55928, than apply into the LCM equation.

GCF(55924,55928) = 4
LCM(55924,55928) = ( 55924 × 55928) / 4
LCM(55924,55928) = 3127717472 / 4
LCM(55924,55928) = 781929368

Least Common Multiple (LCM) of 55924 and 55928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55924 and 55928. First we will calculate the prime factors of 55924 and 55928.

Prime Factorization of 55924

Prime Factorization of 55928

Now multiplying the highest exponent prime factors to calculate the LCM of 55924 and 55928.

LCM(55924,55928) = 2³ × 11¹ × 31¹ × 41¹ × 6991¹
LCM(55924,55928) = 781929368