What is the Least Common Multiple of 55936 and 55953?

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 55936 and 55953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55936 and 55953, than apply into the LCM equation.

GCF(55936,55953) = 1
LCM(55936,55953) = ( 55936 × 55953) / 1
LCM(55936,55953) = 3129787008 / 1
LCM(55936,55953) = 3129787008

Least Common Multiple (LCM) of 55936 and 55953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55936 and 55953. First we will calculate the prime factors of 55936 and 55953.

Prime Factorization of 55936

Prime Factorization of 55953

Now multiplying the highest exponent prime factors to calculate the LCM of 55936 and 55953.

LCM(55936,55953) = 2⁷ × 19¹ × 23¹ × 3² × 6217¹
LCM(55936,55953) = 3129787008