What is the Least Common Multiple of 97404 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 97404 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 97404 and 97414, than apply into the LCM equation.

GCF(97404,97414) = 2
LCM(97404,97414) = ( 97404 × 97414) / 2
LCM(97404,97414) = 9488513256 / 2
LCM(97404,97414) = 4744256628

Least Common Multiple (LCM) of 97404 and 97414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97404 and 97414. First we will calculate the prime factors of 97404 and 97414.

Prime Factorization of 97404

Prime Factorization of 97414

Now multiplying the highest exponent prime factors to calculate the LCM of 97404 and 97414.

LCM(97404,97414) = 2² × 3¹ × 8117¹ × 53¹ × 919¹
LCM(97404,97414) = 4744256628