What is the Least Common Multiple of 83038 and 83053?

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 83038 and 83053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83038 and 83053, than apply into the LCM equation.

GCF(83038,83053) = 1
LCM(83038,83053) = ( 83038 × 83053) / 1
LCM(83038,83053) = 6896555014 / 1
LCM(83038,83053) = 6896555014

Least Common Multiple (LCM) of 83038 and 83053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83038 and 83053. First we will calculate the prime factors of 83038 and 83053.

Prime Factorization of 83038

Prime Factorization of 83053

Now multiplying the highest exponent prime factors to calculate the LCM of 83038 and 83053.

LCM(83038,83053) = 2¹ × 41519¹ × 23² × 157¹
LCM(83038,83053) = 6896555014