What is the Least Common Multiple of 53055 and 53073?

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 53055 and 53073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53055 and 53073, than apply into the LCM equation.

GCF(53055,53073) = 9
LCM(53055,53073) = ( 53055 × 53073) / 9
LCM(53055,53073) = 2815788015 / 9
LCM(53055,53073) = 312865335

Least Common Multiple (LCM) of 53055 and 53073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53055 and 53073. First we will calculate the prime factors of 53055 and 53073.

Prime Factorization of 53055

Prime Factorization of 53073

Now multiplying the highest exponent prime factors to calculate the LCM of 53055 and 53073.

LCM(53055,53073) = 3⁴ × 5¹ × 131¹ × 5897¹
LCM(53055,53073) = 312865335