What is the Least Common Multiple of 67365 and 67371?

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 67365 and 67371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67365 and 67371, than apply into the LCM equation.

GCF(67365,67371) = 3
LCM(67365,67371) = ( 67365 × 67371) / 3
LCM(67365,67371) = 4538447415 / 3
LCM(67365,67371) = 1512815805

Least Common Multiple (LCM) of 67365 and 67371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67365 and 67371. First we will calculate the prime factors of 67365 and 67371.

Prime Factorization of 67365

Prime Factorization of 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 67365 and 67371.

LCM(67365,67371) = 3³ × 5¹ × 499¹ × 17¹ × 1321¹
LCM(67365,67371) = 1512815805