What is the Least Common Multiple of 55088 and 55102?

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 55088 and 55102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55088 and 55102, than apply into the LCM equation.

GCF(55088,55102) = 2
LCM(55088,55102) = ( 55088 × 55102) / 2
LCM(55088,55102) = 3035458976 / 2
LCM(55088,55102) = 1517729488

Least Common Multiple (LCM) of 55088 and 55102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55088 and 55102. First we will calculate the prime factors of 55088 and 55102.

Prime Factorization of 55088

Prime Factorization of 55102

Now multiplying the highest exponent prime factors to calculate the LCM of 55088 and 55102.

LCM(55088,55102) = 2⁴ × 11¹ × 313¹ × 27551¹
LCM(55088,55102) = 1517729488