What is the Least Common Multiple of 55020 and 55035?

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 55020 and 55035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55020 and 55035, than apply into the LCM equation.

GCF(55020,55035) = 15
LCM(55020,55035) = ( 55020 × 55035) / 15
LCM(55020,55035) = 3028025700 / 15
LCM(55020,55035) = 201868380

Least Common Multiple (LCM) of 55020 and 55035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55020 and 55035. First we will calculate the prime factors of 55020 and 55035.

Prime Factorization of 55020

Prime Factorization of 55035

Now multiplying the highest exponent prime factors to calculate the LCM of 55020 and 55035.

LCM(55020,55035) = 2² × 3² × 5¹ × 7¹ × 131¹ × 1223¹
LCM(55020,55035) = 201868380