What is the Least Common Multiple of 97138 and 97150?

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 97150 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 97150, than apply into the LCM equation.

GCF(97138,97150) = 2
LCM(97138,97150) = ( 97138 × 97150) / 2
LCM(97138,97150) = 9436956700 / 2
LCM(97138,97150) = 4718478350

Least Common Multiple (LCM) of 97138 and 97150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97138 and 97150. First we will calculate the prime factors of 97138 and 97150.

Prime Factorization of 97138

Prime Factorization of 97150

Now multiplying the highest exponent prime factors to calculate the LCM of 97138 and 97150.

LCM(97138,97150) = 2¹ × 17¹ × 2857¹ × 5² × 29¹ × 67¹
LCM(97138,97150) = 4718478350