What is the Least Common Multiple of 83914 and 83922?

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 83914 and 83922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83914 and 83922, than apply into the LCM equation.

GCF(83914,83922) = 2
LCM(83914,83922) = ( 83914 × 83922) / 2
LCM(83914,83922) = 7042230708 / 2
LCM(83914,83922) = 3521115354

Least Common Multiple (LCM) of 83914 and 83922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83914 and 83922. First we will calculate the prime factors of 83914 and 83922.

Prime Factorization of 83914

Prime Factorization of 83922

Now multiplying the highest exponent prime factors to calculate the LCM of 83914 and 83922.

LCM(83914,83922) = 2¹ × 41957¹ × 3¹ × 71¹ × 197¹
LCM(83914,83922) = 3521115354