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What is the Least Common Multiple of 7840 and 7857?

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 7840 and 7857 is 61598880.

LCM(7840,7857) = 61598880

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Least Common Multiple of 7840 and 7857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7840 and 7857, than apply into the LCM equation.

GCF(7840,7857) = 1
LCM(7840,7857) = ( 7840 × 7857) / 1
LCM(7840,7857) = 61598880 / 1
LCM(7840,7857) = 61598880

Least Common Multiple (LCM) of 7840 and 7857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7840 and 7857. First we will calculate the prime factors of 7840 and 7857.

Prime Factorization of 7840

Prime factors of 7840 are 2, 5, 7. Prime factorization of 7840 in exponential form is:

7840 = 25 × 51 × 72

Prime Factorization of 7857

Prime factors of 7857 are 3, 97. Prime factorization of 7857 in exponential form is:

7857 = 34 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 7840 and 7857.

LCM(7840,7857) = 25 × 51 × 72 × 34 × 971
LCM(7840,7857) = 61598880