What is the Least Common Multiple of 12008 and 12028?

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 12008 and 12028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12008 and 12028, than apply into the LCM equation.

GCF(12008,12028) = 4
LCM(12008,12028) = ( 12008 × 12028) / 4
LCM(12008,12028) = 144432224 / 4
LCM(12008,12028) = 36108056

Least Common Multiple (LCM) of 12008 and 12028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12008 and 12028. First we will calculate the prime factors of 12008 and 12028.

Prime Factorization of 12008

Prime Factorization of 12028

Now multiplying the highest exponent prime factors to calculate the LCM of 12008 and 12028.

LCM(12008,12028) = 2³ × 19¹ × 79¹ × 31¹ × 97¹
LCM(12008,12028) = 36108056