What is the Least Common Multiple of 91296 and 91300?

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 91296 and 91300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91296 and 91300, than apply into the LCM equation.

GCF(91296,91300) = 4
LCM(91296,91300) = ( 91296 × 91300) / 4
LCM(91296,91300) = 8335324800 / 4
LCM(91296,91300) = 2083831200

Least Common Multiple (LCM) of 91296 and 91300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91296 and 91300. First we will calculate the prime factors of 91296 and 91300.

Prime Factorization of 91296

Prime Factorization of 91300

Now multiplying the highest exponent prime factors to calculate the LCM of 91296 and 91300.

LCM(91296,91300) = 2⁵ × 3² × 317¹ × 5² × 11¹ × 83¹
LCM(91296,91300) = 2083831200