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What is the Least Common Multiple of 7880 and 7891?

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 7880 and 7891 is 62181080.

LCM(7880,7891) = 62181080

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Least Common Multiple of 7880 and 7891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7880 and 7891, than apply into the LCM equation.

GCF(7880,7891) = 1
LCM(7880,7891) = ( 7880 × 7891) / 1
LCM(7880,7891) = 62181080 / 1
LCM(7880,7891) = 62181080

Least Common Multiple (LCM) of 7880 and 7891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7880 and 7891. First we will calculate the prime factors of 7880 and 7891.

Prime Factorization of 7880

Prime factors of 7880 are 2, 5, 197. Prime factorization of 7880 in exponential form is:

7880 = 23 × 51 × 1971

Prime Factorization of 7891

Prime factors of 7891 are 13, 607. Prime factorization of 7891 in exponential form is:

7891 = 131 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 7880 and 7891.

LCM(7880,7891) = 23 × 51 × 1971 × 131 × 6071
LCM(7880,7891) = 62181080