What is the Least Common Multiple of 55328 and 55342?

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 55328 and 55342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55328 and 55342, than apply into the LCM equation.

GCF(55328,55342) = 14
LCM(55328,55342) = ( 55328 × 55342) / 14
LCM(55328,55342) = 3061962176 / 14
LCM(55328,55342) = 218711584

Least Common Multiple (LCM) of 55328 and 55342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55328 and 55342. First we will calculate the prime factors of 55328 and 55342.

Prime Factorization of 55328

Prime Factorization of 55342

Now multiplying the highest exponent prime factors to calculate the LCM of 55328 and 55342.

LCM(55328,55342) = 2⁵ × 7¹ × 13¹ × 19¹ × 59¹ × 67¹
LCM(55328,55342) = 218711584