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What is the Least Common Multiple of 7782 and 7792?

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 7782 and 7792 is 30318672.

LCM(7782,7792) = 30318672

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Least Common Multiple of 7782 and 7792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7782 and 7792, than apply into the LCM equation.

GCF(7782,7792) = 2
LCM(7782,7792) = ( 7782 × 7792) / 2
LCM(7782,7792) = 60637344 / 2
LCM(7782,7792) = 30318672

Least Common Multiple (LCM) of 7782 and 7792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7782 and 7792. First we will calculate the prime factors of 7782 and 7792.

Prime Factorization of 7782

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

7782 = 21 × 31 × 12971

Prime Factorization of 7792

Prime factors of 7792 are 2, 487. Prime factorization of 7792 in exponential form is:

7792 = 24 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 7782 and 7792.

LCM(7782,7792) = 24 × 31 × 12971 × 4871
LCM(7782,7792) = 30318672