What is the Least Common Multiple of 89644 and 89648?

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 89644 and 89648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89644 and 89648, than apply into the LCM equation.

GCF(89644,89648) = 4
LCM(89644,89648) = ( 89644 × 89648) / 4
LCM(89644,89648) = 8036405312 / 4
LCM(89644,89648) = 2009101328

Least Common Multiple (LCM) of 89644 and 89648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89644 and 89648. First we will calculate the prime factors of 89644 and 89648.

Prime Factorization of 89644

Prime Factorization of 89648

Now multiplying the highest exponent prime factors to calculate the LCM of 89644 and 89648.

LCM(89644,89648) = 2⁴ × 73¹ × 307¹ × 13¹ × 431¹
LCM(89644,89648) = 2009101328