What is the Least Common Multiple of 83966 and 83974?

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 83966 and 83974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83966 and 83974, than apply into the LCM equation.

GCF(83966,83974) = 2
LCM(83966,83974) = ( 83966 × 83974) / 2
LCM(83966,83974) = 7050960884 / 2
LCM(83966,83974) = 3525480442

Least Common Multiple (LCM) of 83966 and 83974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83966 and 83974. First we will calculate the prime factors of 83966 and 83974.

Prime Factorization of 83966

Prime Factorization of 83974

Now multiplying the highest exponent prime factors to calculate the LCM of 83966 and 83974.

LCM(83966,83974) = 2¹ × 41983¹ × 11² × 347¹
LCM(83966,83974) = 3525480442