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What is the Least Common Multiple of 68061 and 68080?

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 68061 and 68080 is 4633592880.

LCM(68061,68080) = 4633592880

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Least Common Multiple of 68061 and 68080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68061 and 68080, than apply into the LCM equation.

GCF(68061,68080) = 1
LCM(68061,68080) = ( 68061 × 68080) / 1
LCM(68061,68080) = 4633592880 / 1
LCM(68061,68080) = 4633592880

Least Common Multiple (LCM) of 68061 and 68080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68061 and 68080. First we will calculate the prime factors of 68061 and 68080.

Prime Factorization of 68061

Prime factors of 68061 are 3, 7, 463. Prime factorization of 68061 in exponential form is:

68061 = 31 × 72 × 4631

Prime Factorization of 68080

Prime factors of 68080 are 2, 5, 23, 37. Prime factorization of 68080 in exponential form is:

68080 = 24 × 51 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 68061 and 68080.

LCM(68061,68080) = 31 × 72 × 4631 × 24 × 51 × 231 × 371
LCM(68061,68080) = 4633592880