What is the Least Common Multiple of 79033 and 79052?

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 79033 and 79052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79033 and 79052, than apply into the LCM equation.

GCF(79033,79052) = 1
LCM(79033,79052) = ( 79033 × 79052) / 1
LCM(79033,79052) = 6247716716 / 1
LCM(79033,79052) = 6247716716

Least Common Multiple (LCM) of 79033 and 79052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79033 and 79052. First we will calculate the prime factors of 79033 and 79052.

Prime Factorization of 79033

Prime Factorization of 79052

Now multiplying the highest exponent prime factors to calculate the LCM of 79033 and 79052.

LCM(79033,79052) = 17¹ × 4649¹ × 2² × 19763¹
LCM(79033,79052) = 6247716716