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What is the Least Common Multiple of 7780 and 7799?

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 7780 and 7799 is 60676220.

LCM(7780,7799) = 60676220

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Least Common Multiple of 7780 and 7799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7780 and 7799, than apply into the LCM equation.

GCF(7780,7799) = 1
LCM(7780,7799) = ( 7780 × 7799) / 1
LCM(7780,7799) = 60676220 / 1
LCM(7780,7799) = 60676220

Least Common Multiple (LCM) of 7780 and 7799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7780 and 7799. First we will calculate the prime factors of 7780 and 7799.

Prime Factorization of 7780

Prime factors of 7780 are 2, 5, 389. Prime factorization of 7780 in exponential form is:

7780 = 22 × 51 × 3891

Prime Factorization of 7799

Prime factors of 7799 are 11, 709. Prime factorization of 7799 in exponential form is:

7799 = 111 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 7780 and 7799.

LCM(7780,7799) = 22 × 51 × 3891 × 111 × 7091
LCM(7780,7799) = 60676220