What is the Least Common Multiple of 67361 and 67375?

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 67361 and 67375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67361 and 67375, than apply into the LCM equation.

GCF(67361,67375) = 7
LCM(67361,67375) = ( 67361 × 67375) / 7
LCM(67361,67375) = 4538447375 / 7
LCM(67361,67375) = 648349625

Least Common Multiple (LCM) of 67361 and 67375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67361 and 67375. First we will calculate the prime factors of 67361 and 67375.

Prime Factorization of 67361

Prime Factorization of 67375

Now multiplying the highest exponent prime factors to calculate the LCM of 67361 and 67375.

LCM(67361,67375) = 7² × 9623¹ × 5³ × 11¹
LCM(67361,67375) = 648349625