What is the Least Common Multiple of 83083 and 83096?

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 83083 and 83096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83083 and 83096, than apply into the LCM equation.

GCF(83083,83096) = 13
LCM(83083,83096) = ( 83083 × 83096) / 13
LCM(83083,83096) = 6903864968 / 13
LCM(83083,83096) = 531066536

Least Common Multiple (LCM) of 83083 and 83096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83083 and 83096. First we will calculate the prime factors of 83083 and 83096.

Prime Factorization of 83083

Prime Factorization of 83096

Now multiplying the highest exponent prime factors to calculate the LCM of 83083 and 83096.

LCM(83083,83096) = 7¹ × 11¹ × 13¹ × 83¹ × 2³ × 17¹ × 47¹
LCM(83083,83096) = 531066536