What is the Least Common Multiple of 89884 and 89894?

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 89884 and 89894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89884 and 89894, than apply into the LCM equation.

GCF(89884,89894) = 2
LCM(89884,89894) = ( 89884 × 89894) / 2
LCM(89884,89894) = 8080032296 / 2
LCM(89884,89894) = 4040016148

Least Common Multiple (LCM) of 89884 and 89894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89884 and 89894. First we will calculate the prime factors of 89884 and 89894.

Prime Factorization of 89884

Prime Factorization of 89894

Now multiplying the highest exponent prime factors to calculate the LCM of 89884 and 89894.

LCM(89884,89894) = 2² × 23¹ × 977¹ × 7¹ × 6421¹
LCM(89884,89894) = 4040016148