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What is the Least Common Multiple of 61861 and 61865?

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 61861 and 61865 is 3827030765.

LCM(61861,61865) = 3827030765

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Least Common Multiple of 61861 and 61865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61861 and 61865, than apply into the LCM equation.

GCF(61861,61865) = 1
LCM(61861,61865) = ( 61861 × 61865) / 1
LCM(61861,61865) = 3827030765 / 1
LCM(61861,61865) = 3827030765

Least Common Multiple (LCM) of 61861 and 61865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61861 and 61865. First we will calculate the prime factors of 61861 and 61865.

Prime Factorization of 61861

Prime factors of 61861 are 61861. Prime factorization of 61861 in exponential form is:

61861 = 618611

Prime Factorization of 61865

Prime factors of 61865 are 5, 12373. Prime factorization of 61865 in exponential form is:

61865 = 51 × 123731

Now multiplying the highest exponent prime factors to calculate the LCM of 61861 and 61865.

LCM(61861,61865) = 618611 × 51 × 123731
LCM(61861,61865) = 3827030765