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What is the Least Common Multiple of 7886 and 7892?

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 7886 and 7892 is 31118156.

LCM(7886,7892) = 31118156

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Least Common Multiple of 7886 and 7892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7886 and 7892, than apply into the LCM equation.

GCF(7886,7892) = 2
LCM(7886,7892) = ( 7886 × 7892) / 2
LCM(7886,7892) = 62236312 / 2
LCM(7886,7892) = 31118156

Least Common Multiple (LCM) of 7886 and 7892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7886 and 7892. First we will calculate the prime factors of 7886 and 7892.

Prime Factorization of 7886

Prime factors of 7886 are 2, 3943. Prime factorization of 7886 in exponential form is:

7886 = 21 × 39431

Prime Factorization of 7892

Prime factors of 7892 are 2, 1973. Prime factorization of 7892 in exponential form is:

7892 = 22 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 7886 and 7892.

LCM(7886,7892) = 22 × 39431 × 19731
LCM(7886,7892) = 31118156