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What is the Least Common Multiple of 67094 and 67105?

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 67094 and 67105 is 4502342870.

LCM(67094,67105) = 4502342870

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Least Common Multiple of 67094 and 67105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67094 and 67105, than apply into the LCM equation.

GCF(67094,67105) = 1
LCM(67094,67105) = ( 67094 × 67105) / 1
LCM(67094,67105) = 4502342870 / 1
LCM(67094,67105) = 4502342870

Least Common Multiple (LCM) of 67094 and 67105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67094 and 67105. First we will calculate the prime factors of 67094 and 67105.

Prime Factorization of 67094

Prime factors of 67094 are 2, 33547. Prime factorization of 67094 in exponential form is:

67094 = 21 × 335471

Prime Factorization of 67105

Prime factors of 67105 are 5, 13421. Prime factorization of 67105 in exponential form is:

67105 = 51 × 134211

Now multiplying the highest exponent prime factors to calculate the LCM of 67094 and 67105.

LCM(67094,67105) = 21 × 335471 × 51 × 134211
LCM(67094,67105) = 4502342870