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What is the Least Common Multiple of 7765 and 7782?

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 7782 is 60427230.

LCM(7765,7782) = 60427230

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Least Common Multiple of 7765 and 7782 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 7782, than apply into the LCM equation.

GCF(7765,7782) = 1
LCM(7765,7782) = ( 7765 × 7782) / 1
LCM(7765,7782) = 60427230 / 1
LCM(7765,7782) = 60427230

Least Common Multiple (LCM) of 7765 and 7782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7765 and 7782. First we will calculate the prime factors of 7765 and 7782.

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 7782

Prime factors of 7782 are 2, 3, 1297. Prime factorization of 7782 in exponential form is:

7782 = 21 × 31 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 7765 and 7782.

LCM(7765,7782) = 51 × 15531 × 21 × 31 × 12971
LCM(7765,7782) = 60427230