What is the Least Common Multiple of 3517 and 3535?

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 3517 and 3535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3517 and 3535, than apply into the LCM equation.

GCF(3517,3535) = 1
LCM(3517,3535) = ( 3517 × 3535) / 1
LCM(3517,3535) = 12432595 / 1
LCM(3517,3535) = 12432595

Least Common Multiple (LCM) of 3517 and 3535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3517 and 3535. First we will calculate the prime factors of 3517 and 3535.

Prime Factorization of 3517

Prime Factorization of 3535

Now multiplying the highest exponent prime factors to calculate the LCM of 3517 and 3535.

LCM(3517,3535) = 3517¹ × 5¹ × 7¹ × 101¹
LCM(3517,3535) = 12432595