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What is the Least Common Multiple of 68765 and 68769?

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 68765 and 68769 is 4728900285.

LCM(68765,68769) = 4728900285

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Least Common Multiple of 68765 and 68769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68765 and 68769, than apply into the LCM equation.

GCF(68765,68769) = 1
LCM(68765,68769) = ( 68765 × 68769) / 1
LCM(68765,68769) = 4728900285 / 1
LCM(68765,68769) = 4728900285

Least Common Multiple (LCM) of 68765 and 68769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68765 and 68769. First we will calculate the prime factors of 68765 and 68769.

Prime Factorization of 68765

Prime factors of 68765 are 5, 17, 809. Prime factorization of 68765 in exponential form is:

68765 = 51 × 171 × 8091

Prime Factorization of 68769

Prime factors of 68769 are 3, 283. Prime factorization of 68769 in exponential form is:

68769 = 35 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 68765 and 68769.

LCM(68765,68769) = 51 × 171 × 8091 × 35 × 2831
LCM(68765,68769) = 4728900285