What is the Least Common Multiple of 97399 and 97414?

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 97399 and 97414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97399 and 97414, than apply into the LCM equation.

GCF(97399,97414) = 1
LCM(97399,97414) = ( 97399 × 97414) / 1
LCM(97399,97414) = 9488026186 / 1
LCM(97399,97414) = 9488026186

Least Common Multiple (LCM) of 97399 and 97414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97399 and 97414. First we will calculate the prime factors of 97399 and 97414.

Prime Factorization of 97399

Prime Factorization of 97414

Now multiplying the highest exponent prime factors to calculate the LCM of 97399 and 97414.

LCM(97399,97414) = 173¹ × 563¹ × 2¹ × 53¹ × 919¹
LCM(97399,97414) = 9488026186