What is the Least Common Multiple of 84008 and 84028?

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 84008 and 84028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84008 and 84028, than apply into the LCM equation.

GCF(84008,84028) = 4
LCM(84008,84028) = ( 84008 × 84028) / 4
LCM(84008,84028) = 7059024224 / 4
LCM(84008,84028) = 1764756056

Least Common Multiple (LCM) of 84008 and 84028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84008 and 84028. First we will calculate the prime factors of 84008 and 84028.

Prime Factorization of 84008

Prime Factorization of 84028

Now multiplying the highest exponent prime factors to calculate the LCM of 84008 and 84028.

LCM(84008,84028) = 2³ × 10501¹ × 7¹ × 3001¹
LCM(84008,84028) = 1764756056