What is the Least Common Multiple of 97430 and 97444?

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 97430 and 97444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97430 and 97444, than apply into the LCM equation.

GCF(97430,97444) = 2
LCM(97430,97444) = ( 97430 × 97444) / 2
LCM(97430,97444) = 9493968920 / 2
LCM(97430,97444) = 4746984460

Least Common Multiple (LCM) of 97430 and 97444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97430 and 97444. First we will calculate the prime factors of 97430 and 97444.

Prime Factorization of 97430

Prime Factorization of 97444

Now multiplying the highest exponent prime factors to calculate the LCM of 97430 and 97444.

LCM(97430,97444) = 2² × 5¹ × 9743¹ × 17¹ × 1433¹
LCM(97430,97444) = 4746984460