What is the Least Common Multiple of 55029 and 55047?

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 55029 and 55047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55029 and 55047, than apply into the LCM equation.

GCF(55029,55047) = 3
LCM(55029,55047) = ( 55029 × 55047) / 3
LCM(55029,55047) = 3029181363 / 3
LCM(55029,55047) = 1009727121

Least Common Multiple (LCM) of 55029 and 55047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55029 and 55047. First we will calculate the prime factors of 55029 and 55047.

Prime Factorization of 55029

Prime Factorization of 55047

Now multiplying the highest exponent prime factors to calculate the LCM of 55029 and 55047.

LCM(55029,55047) = 3¹ × 13¹ × 17¹ × 83¹ × 59¹ × 311¹
LCM(55029,55047) = 1009727121