What is the Least Common Multiple of 89324 and 89344?

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 89324 and 89344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89324 and 89344, than apply into the LCM equation.

GCF(89324,89344) = 4
LCM(89324,89344) = ( 89324 × 89344) / 4
LCM(89324,89344) = 7980563456 / 4
LCM(89324,89344) = 1995140864

Least Common Multiple (LCM) of 89324 and 89344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89324 and 89344. First we will calculate the prime factors of 89324 and 89344.

Prime Factorization of 89324

Prime Factorization of 89344

Now multiplying the highest exponent prime factors to calculate the LCM of 89324 and 89344.

LCM(89324,89344) = 2⁸ × 137¹ × 163¹ × 349¹
LCM(89324,89344) = 1995140864