What is the Least Common Multiple of 67470 and 67485?

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 67470 and 67485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67470 and 67485, than apply into the LCM equation.

GCF(67470,67485) = 15
LCM(67470,67485) = ( 67470 × 67485) / 15
LCM(67470,67485) = 4553212950 / 15
LCM(67470,67485) = 303547530

Least Common Multiple (LCM) of 67470 and 67485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67470 and 67485. First we will calculate the prime factors of 67470 and 67485.

Prime Factorization of 67470

Prime Factorization of 67485

Now multiplying the highest exponent prime factors to calculate the LCM of 67470 and 67485.

LCM(67470,67485) = 2¹ × 3¹ × 5¹ × 13¹ × 173¹ × 11¹ × 409¹
LCM(67470,67485) = 303547530