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What is the Least Common Multiple of 6685 and 6704?

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 6685 and 6704 is 44816240.

LCM(6685,6704) = 44816240

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Least Common Multiple of 6685 and 6704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6685 and 6704, than apply into the LCM equation.

GCF(6685,6704) = 1
LCM(6685,6704) = ( 6685 × 6704) / 1
LCM(6685,6704) = 44816240 / 1
LCM(6685,6704) = 44816240

Least Common Multiple (LCM) of 6685 and 6704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6685 and 6704. First we will calculate the prime factors of 6685 and 6704.

Prime Factorization of 6685

Prime factors of 6685 are 5, 7, 191. Prime factorization of 6685 in exponential form is:

6685 = 51 × 71 × 1911

Prime Factorization of 6704

Prime factors of 6704 are 2, 419. Prime factorization of 6704 in exponential form is:

6704 = 24 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 6685 and 6704.

LCM(6685,6704) = 51 × 71 × 1911 × 24 × 4191
LCM(6685,6704) = 44816240