What is the Least Common Multiple of 79272 and 79289?

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 79272 and 79289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79272 and 79289, than apply into the LCM equation.

GCF(79272,79289) = 1
LCM(79272,79289) = ( 79272 × 79289) / 1
LCM(79272,79289) = 6285397608 / 1
LCM(79272,79289) = 6285397608

Least Common Multiple (LCM) of 79272 and 79289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79272 and 79289. First we will calculate the prime factors of 79272 and 79289.

Prime Factorization of 79272

Prime Factorization of 79289

Now multiplying the highest exponent prime factors to calculate the LCM of 79272 and 79289.

LCM(79272,79289) = 2³ × 3³ × 367¹ × 7¹ × 47¹ × 241¹
LCM(79272,79289) = 6285397608