What is the Least Common Multiple of 83874 and 83878?

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 83874 and 83878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83874 and 83878, than apply into the LCM equation.

GCF(83874,83878) = 2
LCM(83874,83878) = ( 83874 × 83878) / 2
LCM(83874,83878) = 7035183372 / 2
LCM(83874,83878) = 3517591686

Least Common Multiple (LCM) of 83874 and 83878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83874 and 83878. First we will calculate the prime factors of 83874 and 83878.

Prime Factorization of 83874

Prime Factorization of 83878

Now multiplying the highest exponent prime factors to calculate the LCM of 83874 and 83878.

LCM(83874,83878) = 2¹ × 3¹ × 7¹ × 1997¹ × 17¹ × 2467¹
LCM(83874,83878) = 3517591686