What is the Least Common Multiple of 89296 and 89305?

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 89296 and 89305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89296 and 89305, than apply into the LCM equation.

GCF(89296,89305) = 1
LCM(89296,89305) = ( 89296 × 89305) / 1
LCM(89296,89305) = 7974579280 / 1
LCM(89296,89305) = 7974579280

Least Common Multiple (LCM) of 89296 and 89305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89296 and 89305. First we will calculate the prime factors of 89296 and 89305.

Prime Factorization of 89296

Prime Factorization of 89305

Now multiplying the highest exponent prime factors to calculate the LCM of 89296 and 89305.

LCM(89296,89305) = 2⁴ × 5581¹ × 5¹ × 53¹ × 337¹
LCM(89296,89305) = 7974579280