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What is the Least Common Multiple of 4300 and 4307?

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 4300 and 4307 is 18520100.

LCM(4300,4307) = 18520100

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Least Common Multiple of 4300 and 4307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4300 and 4307, than apply into the LCM equation.

GCF(4300,4307) = 1
LCM(4300,4307) = ( 4300 × 4307) / 1
LCM(4300,4307) = 18520100 / 1
LCM(4300,4307) = 18520100

Least Common Multiple (LCM) of 4300 and 4307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4300 and 4307. First we will calculate the prime factors of 4300 and 4307.

Prime Factorization of 4300

Prime factors of 4300 are 2, 5, 43. Prime factorization of 4300 in exponential form is:

4300 = 22 × 52 × 431

Prime Factorization of 4307

Prime factors of 4307 are 59, 73. Prime factorization of 4307 in exponential form is:

4307 = 591 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 4300 and 4307.

LCM(4300,4307) = 22 × 52 × 431 × 591 × 731
LCM(4300,4307) = 18520100