What is the Least Common Multiple of 35033 and 35052?

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 35033 and 35052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35033 and 35052, than apply into the LCM equation.

GCF(35033,35052) = 1
LCM(35033,35052) = ( 35033 × 35052) / 1
LCM(35033,35052) = 1227976716 / 1
LCM(35033,35052) = 1227976716

Least Common Multiple (LCM) of 35033 and 35052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35033 and 35052. First we will calculate the prime factors of 35033 and 35052.

Prime Factorization of 35033

Prime Factorization of 35052

Now multiplying the highest exponent prime factors to calculate the LCM of 35033 and 35052.

LCM(35033,35052) = 53¹ × 661¹ × 2² × 3¹ × 23¹ × 127¹
LCM(35033,35052) = 1227976716