What is the Least Common Multiple of 3434 and 3442?

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 3434 and 3442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3434 and 3442, than apply into the LCM equation.

GCF(3434,3442) = 2
LCM(3434,3442) = ( 3434 × 3442) / 2
LCM(3434,3442) = 11819828 / 2
LCM(3434,3442) = 5909914

Least Common Multiple (LCM) of 3434 and 3442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3442. First we will calculate the prime factors of 3434 and 3442.

Prime Factorization of 3434

Prime Factorization of 3442

Now multiplying the highest exponent prime factors to calculate the LCM of 3434 and 3442.

LCM(3434,3442) = 2¹ × 17¹ × 101¹ × 1721¹
LCM(3434,3442) = 5909914