What is the Least Common Multiple of 3502 and 3515?

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 3502 and 3515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3502 and 3515, than apply into the LCM equation.

GCF(3502,3515) = 1
LCM(3502,3515) = ( 3502 × 3515) / 1
LCM(3502,3515) = 12309530 / 1
LCM(3502,3515) = 12309530

Least Common Multiple (LCM) of 3502 and 3515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3502 and 3515. First we will calculate the prime factors of 3502 and 3515.

Prime Factorization of 3502

Prime Factorization of 3515

Now multiplying the highest exponent prime factors to calculate the LCM of 3502 and 3515.

LCM(3502,3515) = 2¹ × 17¹ × 103¹ × 5¹ × 19¹ × 37¹
LCM(3502,3515) = 12309530