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What is the Least Common Multiple of 67901 and 67906?

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 67901 and 67906 is 4610885306.

LCM(67901,67906) = 4610885306

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Least Common Multiple of 67901 and 67906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67901 and 67906, than apply into the LCM equation.

GCF(67901,67906) = 1
LCM(67901,67906) = ( 67901 × 67906) / 1
LCM(67901,67906) = 4610885306 / 1
LCM(67901,67906) = 4610885306

Least Common Multiple (LCM) of 67901 and 67906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67901 and 67906. First we will calculate the prime factors of 67901 and 67906.

Prime Factorization of 67901

Prime factors of 67901 are 67901. Prime factorization of 67901 in exponential form is:

67901 = 679011

Prime Factorization of 67906

Prime factors of 67906 are 2, 19, 1787. Prime factorization of 67906 in exponential form is:

67906 = 21 × 191 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 67901 and 67906.

LCM(67901,67906) = 679011 × 21 × 191 × 17871
LCM(67901,67906) = 4610885306