What is the Least Common Multiple of 83048 and 83054?

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 83048 and 83054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83048 and 83054, than apply into the LCM equation.

GCF(83048,83054) = 2
LCM(83048,83054) = ( 83048 × 83054) / 2
LCM(83048,83054) = 6897468592 / 2
LCM(83048,83054) = 3448734296

Least Common Multiple (LCM) of 83048 and 83054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83048 and 83054. First we will calculate the prime factors of 83048 and 83054.

Prime Factorization of 83048

Prime Factorization of 83054

Now multiplying the highest exponent prime factors to calculate the LCM of 83048 and 83054.

LCM(83048,83054) = 2³ × 7¹ × 1483¹ × 131¹ × 317¹
LCM(83048,83054) = 3448734296