What is the Least Common Multiple of 55964 and 55975?

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 55964 and 55975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55964 and 55975, than apply into the LCM equation.

GCF(55964,55975) = 1
LCM(55964,55975) = ( 55964 × 55975) / 1
LCM(55964,55975) = 3132584900 / 1
LCM(55964,55975) = 3132584900

Least Common Multiple (LCM) of 55964 and 55975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55964 and 55975. First we will calculate the prime factors of 55964 and 55975.

Prime Factorization of 55964

Prime Factorization of 55975

Now multiplying the highest exponent prime factors to calculate the LCM of 55964 and 55975.

LCM(55964,55975) = 2² × 17¹ × 823¹ × 5² × 2239¹
LCM(55964,55975) = 3132584900