What is the Least Common Multiple of 3414 and 3422?

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 3422 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 3422, than apply into the LCM equation.

GCF(3414,3422) = 2
LCM(3414,3422) = ( 3414 × 3422) / 2
LCM(3414,3422) = 11682708 / 2
LCM(3414,3422) = 5841354

Least Common Multiple (LCM) of 3414 and 3422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3414 and 3422. First we will calculate the prime factors of 3414 and 3422.

Prime Factorization of 3414

Prime Factorization of 3422

Now multiplying the highest exponent prime factors to calculate the LCM of 3414 and 3422.

LCM(3414,3422) = 2¹ × 3¹ × 569¹ × 29¹ × 59¹
LCM(3414,3422) = 5841354