What is the Least Common Multiple of 79491 and 79497?

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 79491 and 79497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79491 and 79497, than apply into the LCM equation.

GCF(79491,79497) = 3
LCM(79491,79497) = ( 79491 × 79497) / 3
LCM(79491,79497) = 6319296027 / 3
LCM(79491,79497) = 2106432009

Least Common Multiple (LCM) of 79491 and 79497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79491 and 79497. First we will calculate the prime factors of 79491 and 79497.

Prime Factorization of 79491

Prime Factorization of 79497

Now multiplying the highest exponent prime factors to calculate the LCM of 79491 and 79497.

LCM(79491,79497) = 3² × 26497¹ × 11² × 73¹
LCM(79491,79497) = 2106432009