What is the Least Common Multiple of 33845 and 33863?

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 33863 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 33863, than apply into the LCM equation.

GCF(33845,33863) = 1
LCM(33845,33863) = ( 33845 × 33863) / 1
LCM(33845,33863) = 1146093235 / 1
LCM(33845,33863) = 1146093235

Least Common Multiple (LCM) of 33845 and 33863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33845 and 33863. First we will calculate the prime factors of 33845 and 33863.

Prime Factorization of 33845

Prime Factorization of 33863

Now multiplying the highest exponent prime factors to calculate the LCM of 33845 and 33863.

LCM(33845,33863) = 5¹ × 7¹ × 967¹ × 33863¹
LCM(33845,33863) = 1146093235