What is the Least Common Multiple of 53375 and 53393?

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 53375 and 53393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53375 and 53393, than apply into the LCM equation.

GCF(53375,53393) = 1
LCM(53375,53393) = ( 53375 × 53393) / 1
LCM(53375,53393) = 2849851375 / 1
LCM(53375,53393) = 2849851375

Least Common Multiple (LCM) of 53375 and 53393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53375 and 53393. First we will calculate the prime factors of 53375 and 53393.

Prime Factorization of 53375

Prime Factorization of 53393

Now multiplying the highest exponent prime factors to calculate the LCM of 53375 and 53393.

LCM(53375,53393) = 5³ × 7¹ × 61¹ × 107¹ × 499¹
LCM(53375,53393) = 2849851375