What is the Least Common Multiple of 67257 and 67275?

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 67257 and 67275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67257 and 67275, than apply into the LCM equation.

GCF(67257,67275) = 9
LCM(67257,67275) = ( 67257 × 67275) / 9
LCM(67257,67275) = 4524714675 / 9
LCM(67257,67275) = 502746075

Least Common Multiple (LCM) of 67257 and 67275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67257 and 67275. First we will calculate the prime factors of 67257 and 67275.

Prime Factorization of 67257

Prime Factorization of 67275

Now multiplying the highest exponent prime factors to calculate the LCM of 67257 and 67275.

LCM(67257,67275) = 3³ × 47¹ × 53¹ × 5² × 13¹ × 23¹
LCM(67257,67275) = 502746075