What is the Least Common Multiple of 55616 and 55634?

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 55616 and 55634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55616 and 55634, than apply into the LCM equation.

GCF(55616,55634) = 2
LCM(55616,55634) = ( 55616 × 55634) / 2
LCM(55616,55634) = 3094140544 / 2
LCM(55616,55634) = 1547070272

Least Common Multiple (LCM) of 55616 and 55634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55616 and 55634. First we will calculate the prime factors of 55616 and 55634.

Prime Factorization of 55616

Prime Factorization of 55634

Now multiplying the highest exponent prime factors to calculate the LCM of 55616 and 55634.

LCM(55616,55634) = 2⁶ × 11¹ × 79¹ × 27817¹
LCM(55616,55634) = 1547070272