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What is the Least Common Multiple of 67685 and 67694?

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 67685 and 67694 is 4581868390.

LCM(67685,67694) = 4581868390

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Least Common Multiple of 67685 and 67694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67685 and 67694, than apply into the LCM equation.

GCF(67685,67694) = 1
LCM(67685,67694) = ( 67685 × 67694) / 1
LCM(67685,67694) = 4581868390 / 1
LCM(67685,67694) = 4581868390

Least Common Multiple (LCM) of 67685 and 67694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67685 and 67694. First we will calculate the prime factors of 67685 and 67694.

Prime Factorization of 67685

Prime factors of 67685 are 5, 13537. Prime factorization of 67685 in exponential form is:

67685 = 51 × 135371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67685 and 67694.

LCM(67685,67694) = 51 × 135371 × 21 × 111 × 171 × 1811
LCM(67685,67694) = 4581868390