What is the Least Common Multiple of 55935 and 55955?

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 55935 and 55955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55935 and 55955, than apply into the LCM equation.

GCF(55935,55955) = 5
LCM(55935,55955) = ( 55935 × 55955) / 5
LCM(55935,55955) = 3129842925 / 5
LCM(55935,55955) = 625968585

Least Common Multiple (LCM) of 55935 and 55955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55935 and 55955. First we will calculate the prime factors of 55935 and 55955.

Prime Factorization of 55935

Prime Factorization of 55955

Now multiplying the highest exponent prime factors to calculate the LCM of 55935 and 55955.

LCM(55935,55955) = 3² × 5¹ × 11¹ × 113¹ × 19² × 31¹
LCM(55935,55955) = 625968585