What is the Least Common Multiple of 97344 and 97350?

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 97344 and 97350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97344 and 97350, than apply into the LCM equation.

GCF(97344,97350) = 6
LCM(97344,97350) = ( 97344 × 97350) / 6
LCM(97344,97350) = 9476438400 / 6
LCM(97344,97350) = 1579406400

Least Common Multiple (LCM) of 97344 and 97350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97344 and 97350. First we will calculate the prime factors of 97344 and 97350.

Prime Factorization of 97344

Prime Factorization of 97350

Now multiplying the highest exponent prime factors to calculate the LCM of 97344 and 97350.

LCM(97344,97350) = 2⁶ × 3² × 13² × 5² × 11¹ × 59¹
LCM(97344,97350) = 1579406400