What is the Least Common Multiple of 67515 and 67530?

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 67515 and 67530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67515 and 67530, than apply into the LCM equation.

GCF(67515,67530) = 15
LCM(67515,67530) = ( 67515 × 67530) / 15
LCM(67515,67530) = 4559287950 / 15
LCM(67515,67530) = 303952530

Least Common Multiple (LCM) of 67515 and 67530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67515 and 67530. First we will calculate the prime factors of 67515 and 67530.

Prime Factorization of 67515

Prime Factorization of 67530

Now multiplying the highest exponent prime factors to calculate the LCM of 67515 and 67530.

LCM(67515,67530) = 3¹ × 5¹ × 7¹ × 643¹ × 2¹ × 2251¹
LCM(67515,67530) = 303952530