What is the Least Common Multiple of 69609 and 69613?

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 69609 and 69613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69609 and 69613, than apply into the LCM equation.

GCF(69609,69613) = 1
LCM(69609,69613) = ( 69609 × 69613) / 1
LCM(69609,69613) = 4845691317 / 1
LCM(69609,69613) = 4845691317

Least Common Multiple (LCM) of 69609 and 69613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69609 and 69613. First we will calculate the prime factors of 69609 and 69613.

Prime Factorization of 69609

Prime Factorization of 69613

Now multiplying the highest exponent prime factors to calculate the LCM of 69609 and 69613.

LCM(69609,69613) = 3¹ × 23203¹ × 67¹ × 1039¹
LCM(69609,69613) = 4845691317