What is the Least Common Multiple of 83024 and 83028?

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 83024 and 83028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83024 and 83028, than apply into the LCM equation.

GCF(83024,83028) = 4
LCM(83024,83028) = ( 83024 × 83028) / 4
LCM(83024,83028) = 6893316672 / 4
LCM(83024,83028) = 1723329168

Least Common Multiple (LCM) of 83024 and 83028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83024 and 83028. First we will calculate the prime factors of 83024 and 83028.

Prime Factorization of 83024

Prime Factorization of 83028

Now multiplying the highest exponent prime factors to calculate the LCM of 83024 and 83028.

LCM(83024,83028) = 2⁴ × 5189¹ × 3¹ × 11¹ × 17¹ × 37¹
LCM(83024,83028) = 1723329168