What is the Least Common Multiple of 3414 and 3428?

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 3414 and 3428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3414 and 3428, than apply into the LCM equation.

GCF(3414,3428) = 2
LCM(3414,3428) = ( 3414 × 3428) / 2
LCM(3414,3428) = 11703192 / 2
LCM(3414,3428) = 5851596

Least Common Multiple (LCM) of 3414 and 3428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3414 and 3428. First we will calculate the prime factors of 3414 and 3428.

Prime Factorization of 3414

Prime Factorization of 3428

Now multiplying the highest exponent prime factors to calculate the LCM of 3414 and 3428.

LCM(3414,3428) = 2² × 3¹ × 569¹ × 857¹
LCM(3414,3428) = 5851596