What is the Least Common Multiple of 3494 and 3501?

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 3494 and 3501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3494 and 3501, than apply into the LCM equation.

GCF(3494,3501) = 1
LCM(3494,3501) = ( 3494 × 3501) / 1
LCM(3494,3501) = 12232494 / 1
LCM(3494,3501) = 12232494

Least Common Multiple (LCM) of 3494 and 3501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3494 and 3501. First we will calculate the prime factors of 3494 and 3501.

Prime Factorization of 3494

Prime Factorization of 3501

Now multiplying the highest exponent prime factors to calculate the LCM of 3494 and 3501.

LCM(3494,3501) = 2¹ × 1747¹ × 3² × 389¹
LCM(3494,3501) = 12232494