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What is the Least Common Multiple of 4331 and 4350?

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 4331 and 4350 is 18839850.

LCM(4331,4350) = 18839850

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Least Common Multiple of 4331 and 4350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4331 and 4350, than apply into the LCM equation.

GCF(4331,4350) = 1
LCM(4331,4350) = ( 4331 × 4350) / 1
LCM(4331,4350) = 18839850 / 1
LCM(4331,4350) = 18839850

Least Common Multiple (LCM) of 4331 and 4350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4331 and 4350. First we will calculate the prime factors of 4331 and 4350.

Prime Factorization of 4331

Prime factors of 4331 are 61, 71. Prime factorization of 4331 in exponential form is:

4331 = 611 × 711

Prime Factorization of 4350

Prime factors of 4350 are 2, 3, 5, 29. Prime factorization of 4350 in exponential form is:

4350 = 21 × 31 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4331 and 4350.

LCM(4331,4350) = 611 × 711 × 21 × 31 × 52 × 291
LCM(4331,4350) = 18839850