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What is the Least Common Multiple of 7861 and 7879?

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 7861 and 7879 is 61936819.

LCM(7861,7879) = 61936819

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Least Common Multiple of 7861 and 7879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7861 and 7879, than apply into the LCM equation.

GCF(7861,7879) = 1
LCM(7861,7879) = ( 7861 × 7879) / 1
LCM(7861,7879) = 61936819 / 1
LCM(7861,7879) = 61936819

Least Common Multiple (LCM) of 7861 and 7879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7861 and 7879. First we will calculate the prime factors of 7861 and 7879.

Prime Factorization of 7861

Prime factors of 7861 are 7, 1123. Prime factorization of 7861 in exponential form is:

7861 = 71 × 11231

Prime Factorization of 7879

Prime factors of 7879 are 7879. Prime factorization of 7879 in exponential form is:

7879 = 78791

Now multiplying the highest exponent prime factors to calculate the LCM of 7861 and 7879.

LCM(7861,7879) = 71 × 11231 × 78791
LCM(7861,7879) = 61936819