What is the Least Common Multiple of 97134 and 97149?

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 97134 and 97149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97134 and 97149, than apply into the LCM equation.

GCF(97134,97149) = 3
LCM(97134,97149) = ( 97134 × 97149) / 3
LCM(97134,97149) = 9436470966 / 3
LCM(97134,97149) = 3145490322

Least Common Multiple (LCM) of 97134 and 97149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97134 and 97149. First we will calculate the prime factors of 97134 and 97149.

Prime Factorization of 97134

Prime Factorization of 97149

Now multiplying the highest exponent prime factors to calculate the LCM of 97134 and 97149.

LCM(97134,97149) = 2¹ × 3¹ × 16189¹ × 13¹ × 47¹ × 53¹
LCM(97134,97149) = 3145490322