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What is the Least Common Multiple of 68764 and 68780?

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 68764 and 68780 is 1182396980.

LCM(68764,68780) = 1182396980

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Least Common Multiple of 68764 and 68780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68764 and 68780, than apply into the LCM equation.

GCF(68764,68780) = 4
LCM(68764,68780) = ( 68764 × 68780) / 4
LCM(68764,68780) = 4729587920 / 4
LCM(68764,68780) = 1182396980

Least Common Multiple (LCM) of 68764 and 68780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68764 and 68780. First we will calculate the prime factors of 68764 and 68780.

Prime Factorization of 68764

Prime factors of 68764 are 2, 17191. Prime factorization of 68764 in exponential form is:

68764 = 22 × 171911

Prime Factorization of 68780

Prime factors of 68780 are 2, 5, 19, 181. Prime factorization of 68780 in exponential form is:

68780 = 22 × 51 × 191 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 68764 and 68780.

LCM(68764,68780) = 22 × 171911 × 51 × 191 × 1811
LCM(68764,68780) = 1182396980