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What is the Least Common Multiple of 61857 and 61866?

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 61857 and 61866 is 425205018.

LCM(61857,61866) = 425205018

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Least Common Multiple of 61857 and 61866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61857 and 61866, than apply into the LCM equation.

GCF(61857,61866) = 9
LCM(61857,61866) = ( 61857 × 61866) / 9
LCM(61857,61866) = 3826845162 / 9
LCM(61857,61866) = 425205018

Least Common Multiple (LCM) of 61857 and 61866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61857 and 61866. First we will calculate the prime factors of 61857 and 61866.

Prime Factorization of 61857

Prime factors of 61857 are 3, 29, 79. Prime factorization of 61857 in exponential form is:

61857 = 33 × 291 × 791

Prime Factorization of 61866

Prime factors of 61866 are 2, 3, 7, 491. Prime factorization of 61866 in exponential form is:

61866 = 21 × 32 × 71 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 61857 and 61866.

LCM(61857,61866) = 33 × 291 × 791 × 21 × 71 × 4911
LCM(61857,61866) = 425205018