What is the Least Common Multiple of 55895 and 55904?

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 55895 and 55904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55895 and 55904, than apply into the LCM equation.

GCF(55895,55904) = 1
LCM(55895,55904) = ( 55895 × 55904) / 1
LCM(55895,55904) = 3124754080 / 1
LCM(55895,55904) = 3124754080

Least Common Multiple (LCM) of 55895 and 55904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55895 and 55904. First we will calculate the prime factors of 55895 and 55904.

Prime Factorization of 55895

Prime Factorization of 55904

Now multiplying the highest exponent prime factors to calculate the LCM of 55895 and 55904.

LCM(55895,55904) = 5¹ × 7¹ × 1597¹ × 2⁵ × 1747¹
LCM(55895,55904) = 3124754080