What is the Least Common Multiple of 53072 and 53086?

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 53072 and 53086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53072 and 53086, than apply into the LCM equation.

GCF(53072,53086) = 2
LCM(53072,53086) = ( 53072 × 53086) / 2
LCM(53072,53086) = 2817380192 / 2
LCM(53072,53086) = 1408690096

Least Common Multiple (LCM) of 53072 and 53086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53072 and 53086. First we will calculate the prime factors of 53072 and 53086.

Prime Factorization of 53072

Prime Factorization of 53086

Now multiplying the highest exponent prime factors to calculate the LCM of 53072 and 53086.

LCM(53072,53086) = 2⁴ × 31¹ × 107¹ × 11¹ × 19¹ × 127¹
LCM(53072,53086) = 1408690096