What is the Least Common Multiple of 68009 and 68028?

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 68009 and 68028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68009 and 68028, than apply into the LCM equation.

GCF(68009,68028) = 1
LCM(68009,68028) = ( 68009 × 68028) / 1
LCM(68009,68028) = 4626516252 / 1
LCM(68009,68028) = 4626516252

Least Common Multiple (LCM) of 68009 and 68028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68009 and 68028. First we will calculate the prime factors of 68009 and 68028.

Prime Factorization of 68009

Prime Factorization of 68028

Now multiplying the highest exponent prime factors to calculate the LCM of 68009 and 68028.

LCM(68009,68028) = 47¹ × 1447¹ × 2² × 3¹ × 5669¹
LCM(68009,68028) = 4626516252