What is the Least Common Multiple of 55642 and 55648?

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 55642 and 55648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55642 and 55648, than apply into the LCM equation.

GCF(55642,55648) = 2
LCM(55642,55648) = ( 55642 × 55648) / 2
LCM(55642,55648) = 3096366016 / 2
LCM(55642,55648) = 1548183008

Least Common Multiple (LCM) of 55642 and 55648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55642 and 55648. First we will calculate the prime factors of 55642 and 55648.

Prime Factorization of 55642

Prime Factorization of 55648

Now multiplying the highest exponent prime factors to calculate the LCM of 55642 and 55648.

LCM(55642,55648) = 2⁵ × 43¹ × 647¹ × 37¹ × 47¹
LCM(55642,55648) = 1548183008