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What is the Least Common Multiple of 61861 and 61867?

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 61867 is 3827154487.

LCM(61861,61867) = 3827154487

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Least Common Multiple of 61861 and 61867 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 61867, than apply into the LCM equation.

GCF(61861,61867) = 1
LCM(61861,61867) = ( 61861 × 61867) / 1
LCM(61861,61867) = 3827154487 / 1
LCM(61861,61867) = 3827154487

Least Common Multiple (LCM) of 61861 and 61867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61861 and 61867. First we will calculate the prime factors of 61861 and 61867.

Prime Factorization of 61861

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

61861 = 618611

Prime Factorization of 61867

Prime factors of 61867 are 13, 4759. Prime factorization of 61867 in exponential form is:

61867 = 131 × 47591

Now multiplying the highest exponent prime factors to calculate the LCM of 61861 and 61867.

LCM(61861,61867) = 618611 × 131 × 47591
LCM(61861,61867) = 3827154487