What is the Least Common Multiple of 89596 and 89600?

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 89596 and 89600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89596 and 89600, than apply into the LCM equation.

GCF(89596,89600) = 4
LCM(89596,89600) = ( 89596 × 89600) / 4
LCM(89596,89600) = 8027801600 / 4
LCM(89596,89600) = 2006950400

Least Common Multiple (LCM) of 89596 and 89600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89596 and 89600. First we will calculate the prime factors of 89596 and 89600.

Prime Factorization of 89596

Prime Factorization of 89600

Now multiplying the highest exponent prime factors to calculate the LCM of 89596 and 89600.

LCM(89596,89600) = 2⁹ × 13¹ × 1723¹ × 5² × 7¹
LCM(89596,89600) = 2006950400