What is the Least Common Multiple of 1485 and 1505?

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 1485 and 1505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1485 and 1505, than apply into the LCM equation.

GCF(1485,1505) = 5
LCM(1485,1505) = ( 1485 × 1505) / 5
LCM(1485,1505) = 2234925 / 5
LCM(1485,1505) = 446985

Least Common Multiple (LCM) of 1485 and 1505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1485 and 1505. First we will calculate the prime factors of 1485 and 1505.

Prime Factorization of 1485

Prime Factorization of 1505

Now multiplying the highest exponent prime factors to calculate the LCM of 1485 and 1505.

LCM(1485,1505) = 3³ × 5¹ × 11¹ × 7¹ × 43¹
LCM(1485,1505) = 446985