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What is the Least Common Multiple of 66685 and 66705?

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 66685 and 66705 is 889644585.

LCM(66685,66705) = 889644585

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Least Common Multiple of 66685 and 66705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66685 and 66705, than apply into the LCM equation.

GCF(66685,66705) = 5
LCM(66685,66705) = ( 66685 × 66705) / 5
LCM(66685,66705) = 4448222925 / 5
LCM(66685,66705) = 889644585

Least Common Multiple (LCM) of 66685 and 66705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66685 and 66705. First we will calculate the prime factors of 66685 and 66705.

Prime Factorization of 66685

Prime factors of 66685 are 5, 13337. Prime factorization of 66685 in exponential form is:

66685 = 51 × 133371

Prime Factorization of 66705

Prime factors of 66705 are 3, 5, 4447. Prime factorization of 66705 in exponential form is:

66705 = 31 × 51 × 44471

Now multiplying the highest exponent prime factors to calculate the LCM of 66685 and 66705.

LCM(66685,66705) = 51 × 133371 × 31 × 44471
LCM(66685,66705) = 889644585