What is the Least Common Multiple of 89360 and 89365?

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 89360 and 89365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89360 and 89365, than apply into the LCM equation.

GCF(89360,89365) = 5
LCM(89360,89365) = ( 89360 × 89365) / 5
LCM(89360,89365) = 7985656400 / 5
LCM(89360,89365) = 1597131280

Least Common Multiple (LCM) of 89360 and 89365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89360 and 89365. First we will calculate the prime factors of 89360 and 89365.

Prime Factorization of 89360

Prime Factorization of 89365

Now multiplying the highest exponent prime factors to calculate the LCM of 89360 and 89365.

LCM(89360,89365) = 2⁴ × 5¹ × 1117¹ × 61¹ × 293¹
LCM(89360,89365) = 1597131280