What is the Least Common Multiple of 11009 and 11028?

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 11009 and 11028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11009 and 11028, than apply into the LCM equation.

GCF(11009,11028) = 1
LCM(11009,11028) = ( 11009 × 11028) / 1
LCM(11009,11028) = 121407252 / 1
LCM(11009,11028) = 121407252

Least Common Multiple (LCM) of 11009 and 11028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11009 and 11028. First we will calculate the prime factors of 11009 and 11028.

Prime Factorization of 11009

Prime Factorization of 11028

Now multiplying the highest exponent prime factors to calculate the LCM of 11009 and 11028.

LCM(11009,11028) = 101¹ × 109¹ × 2² × 3¹ × 919¹
LCM(11009,11028) = 121407252