What is the Least Common Multiple of 97296 and 97300?

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 97300 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 97300, than apply into the LCM equation.

GCF(97296,97300) = 4
LCM(97296,97300) = ( 97296 × 97300) / 4
LCM(97296,97300) = 9466900800 / 4
LCM(97296,97300) = 2366725200

Least Common Multiple (LCM) of 97296 and 97300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97296 and 97300. First we will calculate the prime factors of 97296 and 97300.

Prime Factorization of 97296

Prime Factorization of 97300

Now multiplying the highest exponent prime factors to calculate the LCM of 97296 and 97300.

LCM(97296,97300) = 2⁴ × 3¹ × 2027¹ × 5² × 7¹ × 139¹
LCM(97296,97300) = 2366725200