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What is the Least Common Multiple of 23837 and 23851?

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 23837 and 23851 is 568536287.

LCM(23837,23851) = 568536287

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Least Common Multiple of 23837 and 23851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23837 and 23851, than apply into the LCM equation.

GCF(23837,23851) = 1
LCM(23837,23851) = ( 23837 × 23851) / 1
LCM(23837,23851) = 568536287 / 1
LCM(23837,23851) = 568536287

Least Common Multiple (LCM) of 23837 and 23851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23837 and 23851. First we will calculate the prime factors of 23837 and 23851.

Prime Factorization of 23837

Prime factors of 23837 are 11, 197. Prime factorization of 23837 in exponential form is:

23837 = 112 × 1971

Prime Factorization of 23851

Prime factors of 23851 are 17, 23, 61. Prime factorization of 23851 in exponential form is:

23851 = 171 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 23837 and 23851.

LCM(23837,23851) = 112 × 1971 × 171 × 231 × 611
LCM(23837,23851) = 568536287