What is the Least Common Multiple of 33845 and 33859?

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 33845 and 33859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33845 and 33859, than apply into the LCM equation.

GCF(33845,33859) = 7
LCM(33845,33859) = ( 33845 × 33859) / 7
LCM(33845,33859) = 1145957855 / 7
LCM(33845,33859) = 163708265

Least Common Multiple (LCM) of 33845 and 33859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33845 and 33859. First we will calculate the prime factors of 33845 and 33859.

Prime Factorization of 33845

Prime Factorization of 33859

Now multiplying the highest exponent prime factors to calculate the LCM of 33845 and 33859.

LCM(33845,33859) = 5¹ × 7² × 967¹ × 691¹
LCM(33845,33859) = 163708265