What is the Least Common Multiple of 1515 and 1535?

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 1515 and 1535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1515 and 1535, than apply into the LCM equation.

GCF(1515,1535) = 5
LCM(1515,1535) = ( 1515 × 1535) / 5
LCM(1515,1535) = 2325525 / 5
LCM(1515,1535) = 465105

Least Common Multiple (LCM) of 1515 and 1535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1515 and 1535. First we will calculate the prime factors of 1515 and 1535.

Prime Factorization of 1515

Prime Factorization of 1535

Now multiplying the highest exponent prime factors to calculate the LCM of 1515 and 1535.

LCM(1515,1535) = 3¹ × 5¹ × 101¹ × 307¹
LCM(1515,1535) = 465105