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What is the Least Common Multiple of 23862 and 23881?

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 23862 and 23881 is 569848422.

LCM(23862,23881) = 569848422

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Least Common Multiple of 23862 and 23881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23862 and 23881, than apply into the LCM equation.

GCF(23862,23881) = 1
LCM(23862,23881) = ( 23862 × 23881) / 1
LCM(23862,23881) = 569848422 / 1
LCM(23862,23881) = 569848422

Least Common Multiple (LCM) of 23862 and 23881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23862 and 23881. First we will calculate the prime factors of 23862 and 23881.

Prime Factorization of 23862

Prime factors of 23862 are 2, 3, 41, 97. Prime factorization of 23862 in exponential form is:

23862 = 21 × 31 × 411 × 971

Prime Factorization of 23881

Prime factors of 23881 are 11, 13, 167. Prime factorization of 23881 in exponential form is:

23881 = 111 × 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 23862 and 23881.

LCM(23862,23881) = 21 × 31 × 411 × 971 × 111 × 131 × 1671
LCM(23862,23881) = 569848422