What is the Least Common Multiple of 55258 and 55272?

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 55258 and 55272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55258 and 55272, than apply into the LCM equation.

GCF(55258,55272) = 14
LCM(55258,55272) = ( 55258 × 55272) / 14
LCM(55258,55272) = 3054220176 / 14
LCM(55258,55272) = 218158584

Least Common Multiple (LCM) of 55258 and 55272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55258 and 55272. First we will calculate the prime factors of 55258 and 55272.

Prime Factorization of 55258

Prime Factorization of 55272

Now multiplying the highest exponent prime factors to calculate the LCM of 55258 and 55272.

LCM(55258,55272) = 2³ × 7² × 3947¹ × 3¹ × 47¹
LCM(55258,55272) = 218158584