What is the Least Common Multiple of 4345 and 4365?

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 4345 and 4365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4345 and 4365, than apply into the LCM equation.

GCF(4345,4365) = 5
LCM(4345,4365) = ( 4345 × 4365) / 5
LCM(4345,4365) = 18965925 / 5
LCM(4345,4365) = 3793185

Least Common Multiple (LCM) of 4345 and 4365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4345 and 4365. First we will calculate the prime factors of 4345 and 4365.

Prime Factorization of 4345

Prime Factorization of 4365

Now multiplying the highest exponent prime factors to calculate the LCM of 4345 and 4365.

LCM(4345,4365) = 5¹ × 11¹ × 79¹ × 3² × 97¹
LCM(4345,4365) = 3793185