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What is the Least Common Multiple of 67061 and 67080?

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 67061 and 67080 is 4498451880.

LCM(67061,67080) = 4498451880

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Least Common Multiple of 67061 and 67080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67061 and 67080, than apply into the LCM equation.

GCF(67061,67080) = 1
LCM(67061,67080) = ( 67061 × 67080) / 1
LCM(67061,67080) = 4498451880 / 1
LCM(67061,67080) = 4498451880

Least Common Multiple (LCM) of 67061 and 67080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67061 and 67080. First we will calculate the prime factors of 67061 and 67080.

Prime Factorization of 67061

Prime factors of 67061 are 67061. Prime factorization of 67061 in exponential form is:

67061 = 670611

Prime Factorization of 67080

Prime factors of 67080 are 2, 3, 5, 13, 43. Prime factorization of 67080 in exponential form is:

67080 = 23 × 31 × 51 × 131 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 67061 and 67080.

LCM(67061,67080) = 670611 × 23 × 31 × 51 × 131 × 431
LCM(67061,67080) = 4498451880