What is the Least Common Multiple of 1470 and 1485?

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 1470 and 1485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1470 and 1485, than apply into the LCM equation.

GCF(1470,1485) = 15
LCM(1470,1485) = ( 1470 × 1485) / 15
LCM(1470,1485) = 2182950 / 15
LCM(1470,1485) = 145530

Least Common Multiple (LCM) of 1470 and 1485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1470 and 1485. First we will calculate the prime factors of 1470 and 1485.

Prime Factorization of 1470

Prime Factorization of 1485

Now multiplying the highest exponent prime factors to calculate the LCM of 1470 and 1485.

LCM(1470,1485) = 2¹ × 3³ × 5¹ × 7² × 11¹
LCM(1470,1485) = 145530