What is the Least Common Multiple of 83096 and 83112?

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 83096 and 83112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83096 and 83112, than apply into the LCM equation.

GCF(83096,83112) = 8
LCM(83096,83112) = ( 83096 × 83112) / 8
LCM(83096,83112) = 6906274752 / 8
LCM(83096,83112) = 863284344

Least Common Multiple (LCM) of 83096 and 83112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83096 and 83112. First we will calculate the prime factors of 83096 and 83112.

Prime Factorization of 83096

Prime Factorization of 83112

Now multiplying the highest exponent prime factors to calculate the LCM of 83096 and 83112.

LCM(83096,83112) = 2³ × 13¹ × 17¹ × 47¹ × 3¹ × 3463¹
LCM(83096,83112) = 863284344