What is the Least Common Multiple of 97278 and 97296?

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 97278 and 97296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97278 and 97296, than apply into the LCM equation.

GCF(97278,97296) = 6
LCM(97278,97296) = ( 97278 × 97296) / 6
LCM(97278,97296) = 9464760288 / 6
LCM(97278,97296) = 1577460048

Least Common Multiple (LCM) of 97278 and 97296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97278 and 97296. First we will calculate the prime factors of 97278 and 97296.

Prime Factorization of 97278

Prime Factorization of 97296

Now multiplying the highest exponent prime factors to calculate the LCM of 97278 and 97296.

LCM(97278,97296) = 2⁴ × 3¹ × 31¹ × 523¹ × 2027¹
LCM(97278,97296) = 1577460048