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What is the Least Common Multiple of 3666 and 3685?

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 3666 and 3685 is 13509210.

LCM(3666,3685) = 13509210

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Least Common Multiple of 3666 and 3685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3666 and 3685, than apply into the LCM equation.

GCF(3666,3685) = 1
LCM(3666,3685) = ( 3666 × 3685) / 1
LCM(3666,3685) = 13509210 / 1
LCM(3666,3685) = 13509210

Least Common Multiple (LCM) of 3666 and 3685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3666 and 3685. First we will calculate the prime factors of 3666 and 3685.

Prime Factorization of 3666

Prime factors of 3666 are 2, 3, 13, 47. Prime factorization of 3666 in exponential form is:

3666 = 21 × 31 × 131 × 471

Prime Factorization of 3685

Prime factors of 3685 are 5, 11, 67. Prime factorization of 3685 in exponential form is:

3685 = 51 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3666 and 3685.

LCM(3666,3685) = 21 × 31 × 131 × 471 × 51 × 111 × 671
LCM(3666,3685) = 13509210