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What is the Least Common Multiple of 60777 and 60782?

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 60777 and 60782 is 3694147614.

LCM(60777,60782) = 3694147614

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Least Common Multiple of 60777 and 60782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60777 and 60782, than apply into the LCM equation.

GCF(60777,60782) = 1
LCM(60777,60782) = ( 60777 × 60782) / 1
LCM(60777,60782) = 3694147614 / 1
LCM(60777,60782) = 3694147614

Least Common Multiple (LCM) of 60777 and 60782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60777 and 60782. First we will calculate the prime factors of 60777 and 60782.

Prime Factorization of 60777

Prime factors of 60777 are 3, 2251. Prime factorization of 60777 in exponential form is:

60777 = 33 × 22511

Prime Factorization of 60782

Prime factors of 60782 are 2, 30391. Prime factorization of 60782 in exponential form is:

60782 = 21 × 303911

Now multiplying the highest exponent prime factors to calculate the LCM of 60777 and 60782.

LCM(60777,60782) = 33 × 22511 × 21 × 303911
LCM(60777,60782) = 3694147614