What is the Least Common Multiple of 89600 and 89609?

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 89600 and 89609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89600 and 89609, than apply into the LCM equation.

GCF(89600,89609) = 1
LCM(89600,89609) = ( 89600 × 89609) / 1
LCM(89600,89609) = 8028966400 / 1
LCM(89600,89609) = 8028966400

Least Common Multiple (LCM) of 89600 and 89609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89600 and 89609. First we will calculate the prime factors of 89600 and 89609.

Prime Factorization of 89600

Prime Factorization of 89609

Now multiplying the highest exponent prime factors to calculate the LCM of 89600 and 89609.

LCM(89600,89609) = 2⁹ × 5² × 7¹ × 13¹ × 61¹ × 113¹
LCM(89600,89609) = 8028966400