What is the Least Common Multiple of 3439 and 3458?

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 3439 and 3458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3439 and 3458, than apply into the LCM equation.

GCF(3439,3458) = 19
LCM(3439,3458) = ( 3439 × 3458) / 19
LCM(3439,3458) = 11892062 / 19
LCM(3439,3458) = 625898

Least Common Multiple (LCM) of 3439 and 3458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3439 and 3458. First we will calculate the prime factors of 3439 and 3458.

Prime Factorization of 3439

Prime Factorization of 3458

Now multiplying the highest exponent prime factors to calculate the LCM of 3439 and 3458.

LCM(3439,3458) = 19¹ × 181¹ × 2¹ × 7¹ × 13¹
LCM(3439,3458) = 625898