What is the Least Common Multiple of 3434 and 3451?

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 3451 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 3451, than apply into the LCM equation.

GCF(3434,3451) = 17
LCM(3434,3451) = ( 3434 × 3451) / 17
LCM(3434,3451) = 11850734 / 17
LCM(3434,3451) = 697102

Least Common Multiple (LCM) of 3434 and 3451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3434 and 3451. First we will calculate the prime factors of 3434 and 3451.

Prime Factorization of 3434

Prime Factorization of 3451

Now multiplying the highest exponent prime factors to calculate the LCM of 3434 and 3451.

LCM(3434,3451) = 2¹ × 17¹ × 101¹ × 7¹ × 29¹
LCM(3434,3451) = 697102