What is the Least Common Multiple of 89804 and 89821?

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 89804 and 89821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89804 and 89821, than apply into the LCM equation.

GCF(89804,89821) = 1
LCM(89804,89821) = ( 89804 × 89821) / 1
LCM(89804,89821) = 8066285084 / 1
LCM(89804,89821) = 8066285084

Least Common Multiple (LCM) of 89804 and 89821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89804 and 89821. First we will calculate the prime factors of 89804 and 89821.

Prime Factorization of 89804

Prime Factorization of 89821

Now multiplying the highest exponent prime factors to calculate the LCM of 89804 and 89821.

LCM(89804,89821) = 2² × 11¹ × 13¹ × 157¹ × 89821¹
LCM(89804,89821) = 8066285084