What is the Least Common Multiple of 89874 and 89884?

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 89874 and 89884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89874 and 89884, than apply into the LCM equation.

GCF(89874,89884) = 2
LCM(89874,89884) = ( 89874 × 89884) / 2
LCM(89874,89884) = 8078234616 / 2
LCM(89874,89884) = 4039117308

Least Common Multiple (LCM) of 89874 and 89884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89874 and 89884. First we will calculate the prime factors of 89874 and 89884.

Prime Factorization of 89874

Prime Factorization of 89884

Now multiplying the highest exponent prime factors to calculate the LCM of 89874 and 89884.

LCM(89874,89884) = 2² × 3² × 4993¹ × 23¹ × 977¹
LCM(89874,89884) = 4039117308