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What is the Least Common Multiple of 67694 and 67705?

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 67694 and 67705 is 416656570.

LCM(67694,67705) = 416656570

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Least Common Multiple of 67694 and 67705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67694 and 67705, than apply into the LCM equation.

GCF(67694,67705) = 11
LCM(67694,67705) = ( 67694 × 67705) / 11
LCM(67694,67705) = 4583222270 / 11
LCM(67694,67705) = 416656570

Least Common Multiple (LCM) of 67694 and 67705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67694 and 67705. First we will calculate the prime factors of 67694 and 67705.

Prime Factorization of 67694

Prime factors of 67694 are 2, 11, 17, 181. Prime factorization of 67694 in exponential form is:

67694 = 21 × 111 × 171 × 1811

Prime Factorization of 67705

Prime factors of 67705 are 5, 11, 1231. Prime factorization of 67705 in exponential form is:

67705 = 51 × 111 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 67694 and 67705.

LCM(67694,67705) = 21 × 111 × 171 × 1811 × 51 × 12311
LCM(67694,67705) = 416656570