What is the Least Common Multiple of 55015 and 55032?

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 55015 and 55032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55015 and 55032, than apply into the LCM equation.

GCF(55015,55032) = 1
LCM(55015,55032) = ( 55015 × 55032) / 1
LCM(55015,55032) = 3027585480 / 1
LCM(55015,55032) = 3027585480

Least Common Multiple (LCM) of 55015 and 55032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55015 and 55032. First we will calculate the prime factors of 55015 and 55032.

Prime Factorization of 55015

Prime Factorization of 55032

Now multiplying the highest exponent prime factors to calculate the LCM of 55015 and 55032.

LCM(55015,55032) = 5¹ × 11003¹ × 2³ × 3¹ × 2293¹
LCM(55015,55032) = 3027585480