What is the Least Common Multiple of 1505 and 1525?

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 1505 and 1525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1505 and 1525, than apply into the LCM equation.

GCF(1505,1525) = 5
LCM(1505,1525) = ( 1505 × 1525) / 5
LCM(1505,1525) = 2295125 / 5
LCM(1505,1525) = 459025

Least Common Multiple (LCM) of 1505 and 1525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1505 and 1525. First we will calculate the prime factors of 1505 and 1525.

Prime Factorization of 1505

Prime Factorization of 1525

Now multiplying the highest exponent prime factors to calculate the LCM of 1505 and 1525.

LCM(1505,1525) = 5² × 7¹ × 43¹ × 61¹
LCM(1505,1525) = 459025