What is the Least Common Multiple of 29052 and 29060?

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 29052 and 29060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29052 and 29060, than apply into the LCM equation.

GCF(29052,29060) = 4
LCM(29052,29060) = ( 29052 × 29060) / 4
LCM(29052,29060) = 844251120 / 4
LCM(29052,29060) = 211062780

Least Common Multiple (LCM) of 29052 and 29060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29052 and 29060. First we will calculate the prime factors of 29052 and 29060.

Prime Factorization of 29052

Prime Factorization of 29060

Now multiplying the highest exponent prime factors to calculate the LCM of 29052 and 29060.

LCM(29052,29060) = 2² × 3³ × 269¹ × 5¹ × 1453¹
LCM(29052,29060) = 211062780