What is the Least Common Multiple of 55929 and 55937?

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 55929 and 55937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55929 and 55937, than apply into the LCM equation.

GCF(55929,55937) = 1
LCM(55929,55937) = ( 55929 × 55937) / 1
LCM(55929,55937) = 3128500473 / 1
LCM(55929,55937) = 3128500473

Least Common Multiple (LCM) of 55929 and 55937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55929 and 55937. First we will calculate the prime factors of 55929 and 55937.

Prime Factorization of 55929

Prime Factorization of 55937

Now multiplying the highest exponent prime factors to calculate the LCM of 55929 and 55937.

LCM(55929,55937) = 3¹ × 103¹ × 181¹ × 7¹ × 61¹ × 131¹
LCM(55929,55937) = 3128500473