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What is the Least Common Multiple of 4362 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 (LCM) of 4362 and 4371 is 6355434.

LCM(4362,4371) = 6355434

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Least Common Multiple of 4362 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 4362 and 4371, than apply into the LCM equation.

GCF(4362,4371) = 3
LCM(4362,4371) = ( 4362 × 4371) / 3
LCM(4362,4371) = 19066302 / 3
LCM(4362,4371) = 6355434

Least Common Multiple (LCM) of 4362 and 4371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4362 and 4371. First we will calculate the prime factors of 4362 and 4371.

Prime Factorization of 4362

Prime factors of 4362 are 2, 3, 727. Prime factorization of 4362 in exponential form is:

4362 = 21 × 31 × 7271

Prime Factorization of 4371

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

4371 = 31 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4362 and 4371.

LCM(4362,4371) = 21 × 31 × 7271 × 311 × 471
LCM(4362,4371) = 6355434