What is the Least Common Multiple of 97009 and 97027?

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 97009 and 97027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97009 and 97027, than apply into the LCM equation.

GCF(97009,97027) = 1
LCM(97009,97027) = ( 97009 × 97027) / 1
LCM(97009,97027) = 9412492243 / 1
LCM(97009,97027) = 9412492243

Least Common Multiple (LCM) of 97009 and 97027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97009 and 97027. First we will calculate the prime factors of 97009 and 97027.

Prime Factorization of 97009

Prime Factorization of 97027

Now multiplying the highest exponent prime factors to calculate the LCM of 97009 and 97027.

LCM(97009,97027) = 11¹ × 8819¹ × 7¹ × 83¹ × 167¹
LCM(97009,97027) = 9412492243