What is the Least Common Multiple of 55745 and 55761?

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 55745 and 55761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55745 and 55761, than apply into the LCM equation.

GCF(55745,55761) = 1
LCM(55745,55761) = ( 55745 × 55761) / 1
LCM(55745,55761) = 3108396945 / 1
LCM(55745,55761) = 3108396945

Least Common Multiple (LCM) of 55745 and 55761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55745 and 55761. First we will calculate the prime factors of 55745 and 55761.

Prime Factorization of 55745

Prime Factorization of 55761

Now multiplying the highest exponent prime factors to calculate the LCM of 55745 and 55761.

LCM(55745,55761) = 5¹ × 11149¹ × 3¹ × 18587¹
LCM(55745,55761) = 3108396945