What is the Least Common Multiple of 67475 and 67493?

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 67475 and 67493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67475 and 67493, than apply into the LCM equation.

GCF(67475,67493) = 1
LCM(67475,67493) = ( 67475 × 67493) / 1
LCM(67475,67493) = 4554090175 / 1
LCM(67475,67493) = 4554090175

Least Common Multiple (LCM) of 67475 and 67493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67475 and 67493. First we will calculate the prime factors of 67475 and 67493.

Prime Factorization of 67475

Prime Factorization of 67493

Now multiplying the highest exponent prime factors to calculate the LCM of 67475 and 67493.

LCM(67475,67493) = 5² × 2699¹ × 67493¹
LCM(67475,67493) = 4554090175