What is the Least Common Multiple of 88345 and 88349?

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 88345 and 88349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88345 and 88349, than apply into the LCM equation.

GCF(88345,88349) = 1
LCM(88345,88349) = ( 88345 × 88349) / 1
LCM(88345,88349) = 7805192405 / 1
LCM(88345,88349) = 7805192405

Least Common Multiple (LCM) of 88345 and 88349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88345 and 88349. First we will calculate the prime factors of 88345 and 88349.

Prime Factorization of 88345

Prime Factorization of 88349

Now multiplying the highest exponent prime factors to calculate the LCM of 88345 and 88349.

LCM(88345,88349) = 5¹ × 17669¹ × 17¹ × 5197¹
LCM(88345,88349) = 7805192405