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What is the Least Common Multiple of 4311 and 4326?

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 4311 and 4326 is 6216462.

LCM(4311,4326) = 6216462

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Least Common Multiple of 4311 and 4326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4311 and 4326, than apply into the LCM equation.

GCF(4311,4326) = 3
LCM(4311,4326) = ( 4311 × 4326) / 3
LCM(4311,4326) = 18649386 / 3
LCM(4311,4326) = 6216462

Least Common Multiple (LCM) of 4311 and 4326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4311 and 4326. First we will calculate the prime factors of 4311 and 4326.

Prime Factorization of 4311

Prime factors of 4311 are 3, 479. Prime factorization of 4311 in exponential form is:

4311 = 32 × 4791

Prime Factorization of 4326

Prime factors of 4326 are 2, 3, 7, 103. Prime factorization of 4326 in exponential form is:

4326 = 21 × 31 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4311 and 4326.

LCM(4311,4326) = 32 × 4791 × 21 × 71 × 1031
LCM(4311,4326) = 6216462