What is the Least Common Multiple of 79485 and 79491?

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 79485 and 79491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79485 and 79491, than apply into the LCM equation.

GCF(79485,79491) = 3
LCM(79485,79491) = ( 79485 × 79491) / 3
LCM(79485,79491) = 6318342135 / 3
LCM(79485,79491) = 2106114045

Least Common Multiple (LCM) of 79485 and 79491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79485 and 79491. First we will calculate the prime factors of 79485 and 79491.

Prime Factorization of 79485

Prime Factorization of 79491

Now multiplying the highest exponent prime factors to calculate the LCM of 79485 and 79491.

LCM(79485,79491) = 3¹ × 5¹ × 7¹ × 757¹ × 26497¹
LCM(79485,79491) = 2106114045