What is the Least Common Multiple of 35008 and 35028?

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 35008 and 35028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35008 and 35028, than apply into the LCM equation.

GCF(35008,35028) = 4
LCM(35008,35028) = ( 35008 × 35028) / 4
LCM(35008,35028) = 1226260224 / 4
LCM(35008,35028) = 306565056

Least Common Multiple (LCM) of 35008 and 35028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35008 and 35028. First we will calculate the prime factors of 35008 and 35028.

Prime Factorization of 35008

Prime Factorization of 35028

Now multiplying the highest exponent prime factors to calculate the LCM of 35008 and 35028.

LCM(35008,35028) = 2⁶ × 547¹ × 3² × 7¹ × 139¹
LCM(35008,35028) = 306565056