What is the Least Common Multiple of 89845 and 89865?

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 89845 and 89865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89845 and 89865, than apply into the LCM equation.

GCF(89845,89865) = 5
LCM(89845,89865) = ( 89845 × 89865) / 5
LCM(89845,89865) = 8073920925 / 5
LCM(89845,89865) = 1614784185

Least Common Multiple (LCM) of 89845 and 89865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89845 and 89865. First we will calculate the prime factors of 89845 and 89865.

Prime Factorization of 89845

Prime Factorization of 89865

Now multiplying the highest exponent prime factors to calculate the LCM of 89845 and 89865.

LCM(89845,89865) = 5¹ × 7¹ × 17¹ × 151¹ × 3² × 1997¹
LCM(89845,89865) = 1614784185