What is the Least Common Multiple of 3421 and 3430?

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 3421 and 3430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3421 and 3430, than apply into the LCM equation.

GCF(3421,3430) = 1
LCM(3421,3430) = ( 3421 × 3430) / 1
LCM(3421,3430) = 11734030 / 1
LCM(3421,3430) = 11734030

Least Common Multiple (LCM) of 3421 and 3430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3421 and 3430. First we will calculate the prime factors of 3421 and 3430.

Prime Factorization of 3421

Prime Factorization of 3430

Now multiplying the highest exponent prime factors to calculate the LCM of 3421 and 3430.

LCM(3421,3430) = 11¹ × 311¹ × 2¹ × 5¹ × 7³
LCM(3421,3430) = 11734030