What is the Least Common Multiple of 97296 and 97302?

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 97302 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 97302, than apply into the LCM equation.

GCF(97296,97302) = 6
LCM(97296,97302) = ( 97296 × 97302) / 6
LCM(97296,97302) = 9467095392 / 6
LCM(97296,97302) = 1577849232

Least Common Multiple (LCM) of 97296 and 97302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97296 and 97302. First we will calculate the prime factors of 97296 and 97302.

Prime Factorization of 97296

Prime Factorization of 97302

Now multiplying the highest exponent prime factors to calculate the LCM of 97296 and 97302.

LCM(97296,97302) = 2⁴ × 3¹ × 2027¹ × 16217¹
LCM(97296,97302) = 1577849232