What is the Least Common Multiple of 89345 and 89360?

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 89345 and 89360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89345 and 89360, than apply into the LCM equation.

GCF(89345,89360) = 5
LCM(89345,89360) = ( 89345 × 89360) / 5
LCM(89345,89360) = 7983869200 / 5
LCM(89345,89360) = 1596773840

Least Common Multiple (LCM) of 89345 and 89360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89345 and 89360. First we will calculate the prime factors of 89345 and 89360.

Prime Factorization of 89345

Prime Factorization of 89360

Now multiplying the highest exponent prime factors to calculate the LCM of 89345 and 89360.

LCM(89345,89360) = 5¹ × 107¹ × 167¹ × 2⁴ × 1117¹
LCM(89345,89360) = 1596773840