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What is the Least Common Multiple of 4812 and 4831?

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 4812 and 4831 is 23246772.

LCM(4812,4831) = 23246772

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Least Common Multiple of 4812 and 4831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4812 and 4831, than apply into the LCM equation.

GCF(4812,4831) = 1
LCM(4812,4831) = ( 4812 × 4831) / 1
LCM(4812,4831) = 23246772 / 1
LCM(4812,4831) = 23246772

Least Common Multiple (LCM) of 4812 and 4831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4812 and 4831. First we will calculate the prime factors of 4812 and 4831.

Prime Factorization of 4812

Prime factors of 4812 are 2, 3, 401. Prime factorization of 4812 in exponential form is:

4812 = 22 × 31 × 4011

Prime Factorization of 4831

Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:

4831 = 48311

Now multiplying the highest exponent prime factors to calculate the LCM of 4812 and 4831.

LCM(4812,4831) = 22 × 31 × 4011 × 48311
LCM(4812,4831) = 23246772