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What is the Least Common Multiple of 99767 and 99782?

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 99767 and 99782 is 9954950794.

LCM(99767,99782) = 9954950794

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Least Common Multiple of 99767 and 99782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99767 and 99782, than apply into the LCM equation.

GCF(99767,99782) = 1
LCM(99767,99782) = ( 99767 × 99782) / 1
LCM(99767,99782) = 9954950794 / 1
LCM(99767,99782) = 9954950794

Least Common Multiple (LCM) of 99767 and 99782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99767 and 99782. First we will calculate the prime factors of 99767 and 99782.

Prime Factorization of 99767

Prime factors of 99767 are 99767. Prime factorization of 99767 in exponential form is:

99767 = 997671

Prime Factorization of 99782

Prime factors of 99782 are 2, 49891. Prime factorization of 99782 in exponential form is:

99782 = 21 × 498911

Now multiplying the highest exponent prime factors to calculate the LCM of 99767 and 99782.

LCM(99767,99782) = 997671 × 21 × 498911
LCM(99767,99782) = 9954950794