What is the Least Common Multiple of 4353 and 4371?

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 4353 and 4371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4353 and 4371, than apply into the LCM equation.

GCF(4353,4371) = 3
LCM(4353,4371) = ( 4353 × 4371) / 3
LCM(4353,4371) = 19026963 / 3
LCM(4353,4371) = 6342321

Least Common Multiple (LCM) of 4353 and 4371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4353 and 4371. First we will calculate the prime factors of 4353 and 4371.

Prime Factorization of 4353

Prime Factorization of 4371

Now multiplying the highest exponent prime factors to calculate the LCM of 4353 and 4371.

LCM(4353,4371) = 3¹ × 1451¹ × 31¹ × 47¹
LCM(4353,4371) = 6342321