What is the Least Common Multiple of 33523 and 33541?

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 33523 and 33541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33523 and 33541, than apply into the LCM equation.

GCF(33523,33541) = 1
LCM(33523,33541) = ( 33523 × 33541) / 1
LCM(33523,33541) = 1124394943 / 1
LCM(33523,33541) = 1124394943

Least Common Multiple (LCM) of 33523 and 33541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33523 and 33541. First we will calculate the prime factors of 33523 and 33541.

Prime Factorization of 33523

Prime Factorization of 33541

Now multiplying the highest exponent prime factors to calculate the LCM of 33523 and 33541.

LCM(33523,33541) = 7¹ × 4789¹ × 17¹ × 1973¹
LCM(33523,33541) = 1124394943