What is the Least Common Multiple of 97138 and 97146?

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 97138 and 97146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97138 and 97146, than apply into the LCM equation.

GCF(97138,97146) = 2
LCM(97138,97146) = ( 97138 × 97146) / 2
LCM(97138,97146) = 9436568148 / 2
LCM(97138,97146) = 4718284074

Least Common Multiple (LCM) of 97138 and 97146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97138 and 97146. First we will calculate the prime factors of 97138 and 97146.

Prime Factorization of 97138

Prime Factorization of 97146

Now multiplying the highest exponent prime factors to calculate the LCM of 97138 and 97146.

LCM(97138,97146) = 2¹ × 17¹ × 2857¹ × 3³ × 7¹ × 257¹
LCM(97138,97146) = 4718284074