What is the Least Common Multiple of 86829 and 86845?

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 86829 and 86845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86829 and 86845, than apply into the LCM equation.

GCF(86829,86845) = 1
LCM(86829,86845) = ( 86829 × 86845) / 1
LCM(86829,86845) = 7540664505 / 1
LCM(86829,86845) = 7540664505

Least Common Multiple (LCM) of 86829 and 86845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86829 and 86845. First we will calculate the prime factors of 86829 and 86845.

Prime Factorization of 86829

Prime Factorization of 86845

Now multiplying the highest exponent prime factors to calculate the LCM of 86829 and 86845.

LCM(86829,86845) = 3¹ × 103¹ × 281¹ × 5¹ × 11¹ × 1579¹
LCM(86829,86845) = 7540664505