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What is the Least Common Multiple of 7765 and 7780?

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 7765 and 7780 is 12082340.

LCM(7765,7780) = 12082340

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Least Common Multiple of 7765 and 7780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7765 and 7780, than apply into the LCM equation.

GCF(7765,7780) = 5
LCM(7765,7780) = ( 7765 × 7780) / 5
LCM(7765,7780) = 60411700 / 5
LCM(7765,7780) = 12082340

Least Common Multiple (LCM) of 7765 and 7780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7765 and 7780. First we will calculate the prime factors of 7765 and 7780.

Prime Factorization of 7765

Prime factors of 7765 are 5, 1553. Prime factorization of 7765 in exponential form is:

7765 = 51 × 15531

Prime Factorization of 7780

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

7780 = 22 × 51 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 7765 and 7780.

LCM(7765,7780) = 51 × 15531 × 22 × 3891
LCM(7765,7780) = 12082340