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What is the Least Common Multiple of 68755 and 68767?

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 68755 and 68767 is 4728075085.

LCM(68755,68767) = 4728075085

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Least Common Multiple of 68755 and 68767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68755 and 68767, than apply into the LCM equation.

GCF(68755,68767) = 1
LCM(68755,68767) = ( 68755 × 68767) / 1
LCM(68755,68767) = 4728075085 / 1
LCM(68755,68767) = 4728075085

Least Common Multiple (LCM) of 68755 and 68767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68755 and 68767. First we will calculate the prime factors of 68755 and 68767.

Prime Factorization of 68755

Prime factors of 68755 are 5, 13751. Prime factorization of 68755 in exponential form is:

68755 = 51 × 137511

Prime Factorization of 68767

Prime factors of 68767 are 68767. Prime factorization of 68767 in exponential form is:

68767 = 687671

Now multiplying the highest exponent prime factors to calculate the LCM of 68755 and 68767.

LCM(68755,68767) = 51 × 137511 × 687671
LCM(68755,68767) = 4728075085