What is the Least Common Multiple of 5009 and 5028?

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 5009 and 5028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5009 and 5028, than apply into the LCM equation.

GCF(5009,5028) = 1
LCM(5009,5028) = ( 5009 × 5028) / 1
LCM(5009,5028) = 25185252 / 1
LCM(5009,5028) = 25185252

Least Common Multiple (LCM) of 5009 and 5028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5009 and 5028. First we will calculate the prime factors of 5009 and 5028.

Prime Factorization of 5009

Prime Factorization of 5028

Now multiplying the highest exponent prime factors to calculate the LCM of 5009 and 5028.

LCM(5009,5028) = 5009¹ × 2² × 3¹ × 419¹
LCM(5009,5028) = 25185252