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What is the Least Common Multiple of 68255 and 68261?

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 68255 and 68261 is 4659154555.

LCM(68255,68261) = 4659154555

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Least Common Multiple of 68255 and 68261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68255 and 68261, than apply into the LCM equation.

GCF(68255,68261) = 1
LCM(68255,68261) = ( 68255 × 68261) / 1
LCM(68255,68261) = 4659154555 / 1
LCM(68255,68261) = 4659154555

Least Common Multiple (LCM) of 68255 and 68261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68255 and 68261. First we will calculate the prime factors of 68255 and 68261.

Prime Factorization of 68255

Prime factors of 68255 are 5, 11, 17, 73. Prime factorization of 68255 in exponential form is:

68255 = 51 × 111 × 171 × 731

Prime Factorization of 68261

Prime factors of 68261 are 68261. Prime factorization of 68261 in exponential form is:

68261 = 682611

Now multiplying the highest exponent prime factors to calculate the LCM of 68255 and 68261.

LCM(68255,68261) = 51 × 111 × 171 × 731 × 682611
LCM(68255,68261) = 4659154555