What is the Least Common Multiple of 95009 and 95028?

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 95009 and 95028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95009 and 95028, than apply into the LCM equation.

GCF(95009,95028) = 1
LCM(95009,95028) = ( 95009 × 95028) / 1
LCM(95009,95028) = 9028515252 / 1
LCM(95009,95028) = 9028515252

Least Common Multiple (LCM) of 95009 and 95028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95009 and 95028. First we will calculate the prime factors of 95009 and 95028.

Prime Factorization of 95009

Prime Factorization of 95028

Now multiplying the highest exponent prime factors to calculate the LCM of 95009 and 95028.

LCM(95009,95028) = 95009¹ × 2² × 3¹ × 7919¹
LCM(95009,95028) = 9028515252