What is the Least Common Multiple of 55929 and 55935?

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 55935 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 55935, than apply into the LCM equation.

GCF(55929,55935) = 3
LCM(55929,55935) = ( 55929 × 55935) / 3
LCM(55929,55935) = 3128388615 / 3
LCM(55929,55935) = 1042796205

Least Common Multiple (LCM) of 55929 and 55935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55929 and 55935. First we will calculate the prime factors of 55929 and 55935.

Prime Factorization of 55929

Prime Factorization of 55935

Now multiplying the highest exponent prime factors to calculate the LCM of 55929 and 55935.

LCM(55929,55935) = 3² × 103¹ × 181¹ × 5¹ × 11¹ × 113¹
LCM(55929,55935) = 1042796205