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What is the Least Common Multiple of 4813 and 4825?

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 4813 and 4825 is 23222725.

LCM(4813,4825) = 23222725

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Least Common Multiple of 4813 and 4825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4813 and 4825, than apply into the LCM equation.

GCF(4813,4825) = 1
LCM(4813,4825) = ( 4813 × 4825) / 1
LCM(4813,4825) = 23222725 / 1
LCM(4813,4825) = 23222725

Least Common Multiple (LCM) of 4813 and 4825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4813 and 4825. First we will calculate the prime factors of 4813 and 4825.

Prime Factorization of 4813

Prime factors of 4813 are 4813. Prime factorization of 4813 in exponential form is:

4813 = 48131

Prime Factorization of 4825

Prime factors of 4825 are 5, 193. Prime factorization of 4825 in exponential form is:

4825 = 52 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4813 and 4825.

LCM(4813,4825) = 48131 × 52 × 1931
LCM(4813,4825) = 23222725