What is the Least Common Multiple of 3420 and 3429?

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 3420 and 3429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3420 and 3429, than apply into the LCM equation.

GCF(3420,3429) = 9
LCM(3420,3429) = ( 3420 × 3429) / 9
LCM(3420,3429) = 11727180 / 9
LCM(3420,3429) = 1303020

Least Common Multiple (LCM) of 3420 and 3429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3420 and 3429. First we will calculate the prime factors of 3420 and 3429.

Prime Factorization of 3420

Prime Factorization of 3429

Now multiplying the highest exponent prime factors to calculate the LCM of 3420 and 3429.

LCM(3420,3429) = 2² × 3³ × 5¹ × 19¹ × 127¹
LCM(3420,3429) = 1303020