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What is the Least Common Multiple of 4371 and 4385?

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 (LCM) of 4371 and 4385 is 19166835.

LCM(4371,4385) = 19166835

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Least Common Multiple of 4371 and 4385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4371 and 4385, than apply into the LCM equation.

GCF(4371,4385) = 1
LCM(4371,4385) = ( 4371 × 4385) / 1
LCM(4371,4385) = 19166835 / 1
LCM(4371,4385) = 19166835

Least Common Multiple (LCM) of 4371 and 4385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4371 and 4385. First we will calculate the prime factors of 4371 and 4385.

Prime Factorization of 4371

Prime factors of 4371 are 3, 31, 47. Prime factorization of 4371 in exponential form is:

4371 = 31 × 311 × 471

Prime Factorization of 4385

Prime factors of 4385 are 5, 877. Prime factorization of 4385 in exponential form is:

4385 = 51 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 4371 and 4385.

LCM(4371,4385) = 31 × 311 × 471 × 51 × 8771
LCM(4371,4385) = 19166835