What is the Least Common Multiple of 53478 and 53492?

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 53478 and 53492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53478 and 53492, than apply into the LCM equation.

GCF(53478,53492) = 2
LCM(53478,53492) = ( 53478 × 53492) / 2
LCM(53478,53492) = 2860645176 / 2
LCM(53478,53492) = 1430322588

Least Common Multiple (LCM) of 53478 and 53492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53478 and 53492. First we will calculate the prime factors of 53478 and 53492.

Prime Factorization of 53478

Prime Factorization of 53492

Now multiplying the highest exponent prime factors to calculate the LCM of 53478 and 53492.

LCM(53478,53492) = 2² × 3² × 2971¹ × 43¹ × 311¹
LCM(53478,53492) = 1430322588