What is the Least Common Multiple of 55738 and 55744?

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 55738 and 55744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55738 and 55744, than apply into the LCM equation.

GCF(55738,55744) = 2
LCM(55738,55744) = ( 55738 × 55744) / 2
LCM(55738,55744) = 3107059072 / 2
LCM(55738,55744) = 1553529536

Least Common Multiple (LCM) of 55738 and 55744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55738 and 55744. First we will calculate the prime factors of 55738 and 55744.

Prime Factorization of 55738

Prime Factorization of 55744

Now multiplying the highest exponent prime factors to calculate the LCM of 55738 and 55744.

LCM(55738,55744) = 2⁶ × 29¹ × 31² × 13¹ × 67¹
LCM(55738,55744) = 1553529536