What is the Least Common Multiple of 55924 and 55934?

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 55934 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 55934, than apply into the LCM equation.

GCF(55924,55934) = 2
LCM(55924,55934) = ( 55924 × 55934) / 2
LCM(55924,55934) = 3128053016 / 2
LCM(55924,55934) = 1564026508

Least Common Multiple (LCM) of 55924 and 55934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55924 and 55934. First we will calculate the prime factors of 55924 and 55934.

Prime Factorization of 55924

Prime Factorization of 55934

Now multiplying the highest exponent prime factors to calculate the LCM of 55924 and 55934.

LCM(55924,55934) = 2² × 11¹ × 31¹ × 41¹ × 27967¹
LCM(55924,55934) = 1564026508