What is the Least Common Multiple of 83874 and 83882?

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 83882 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 83882, than apply into the LCM equation.

GCF(83874,83882) = 2
LCM(83874,83882) = ( 83874 × 83882) / 2
LCM(83874,83882) = 7035518868 / 2
LCM(83874,83882) = 3517759434

Least Common Multiple (LCM) of 83874 and 83882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83874 and 83882. First we will calculate the prime factors of 83874 and 83882.

Prime Factorization of 83874

Prime Factorization of 83882

Now multiplying the highest exponent prime factors to calculate the LCM of 83874 and 83882.

LCM(83874,83882) = 2¹ × 3¹ × 7¹ × 1997¹ × 41941¹
LCM(83874,83882) = 3517759434