What is the Least Common Multiple of 69475 and 69491?

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 69475 and 69491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69475 and 69491, than apply into the LCM equation.

GCF(69475,69491) = 1
LCM(69475,69491) = ( 69475 × 69491) / 1
LCM(69475,69491) = 4827887225 / 1
LCM(69475,69491) = 4827887225

Least Common Multiple (LCM) of 69475 and 69491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69475 and 69491. First we will calculate the prime factors of 69475 and 69491.

Prime Factorization of 69475

Prime Factorization of 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 69475 and 69491.

LCM(69475,69491) = 5² × 7¹ × 397¹ × 69491¹
LCM(69475,69491) = 4827887225