What is the Least Common Multiple of 66008 and 66028?

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 66008 and 66028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66008 and 66028, than apply into the LCM equation.

GCF(66008,66028) = 4
LCM(66008,66028) = ( 66008 × 66028) / 4
LCM(66008,66028) = 4358376224 / 4
LCM(66008,66028) = 1089594056

Least Common Multiple (LCM) of 66008 and 66028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66008 and 66028. First we will calculate the prime factors of 66008 and 66028.

Prime Factorization of 66008

Prime Factorization of 66028

Now multiplying the highest exponent prime factors to calculate the LCM of 66008 and 66028.

LCM(66008,66028) = 2³ × 37¹ × 223¹ × 17¹ × 971¹
LCM(66008,66028) = 1089594056