What is the Least Common Multiple of 97296 and 97304?

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 97296 and 97304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97296 and 97304, than apply into the LCM equation.

GCF(97296,97304) = 8
LCM(97296,97304) = ( 97296 × 97304) / 8
LCM(97296,97304) = 9467289984 / 8
LCM(97296,97304) = 1183411248

Least Common Multiple (LCM) of 97296 and 97304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97296 and 97304. First we will calculate the prime factors of 97296 and 97304.

Prime Factorization of 97296

Prime Factorization of 97304

Now multiplying the highest exponent prime factors to calculate the LCM of 97296 and 97304.

LCM(97296,97304) = 2⁴ × 3¹ × 2027¹ × 12163¹
LCM(97296,97304) = 1183411248