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What is the Least Common Multiple of 3706 and 3718?

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 3706 and 3718 is 6889454.

LCM(3706,3718) = 6889454

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Least Common Multiple of 3706 and 3718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3706 and 3718, than apply into the LCM equation.

GCF(3706,3718) = 2
LCM(3706,3718) = ( 3706 × 3718) / 2
LCM(3706,3718) = 13778908 / 2
LCM(3706,3718) = 6889454

Least Common Multiple (LCM) of 3706 and 3718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3706 and 3718. First we will calculate the prime factors of 3706 and 3718.

Prime Factorization of 3706

Prime factors of 3706 are 2, 17, 109. Prime factorization of 3706 in exponential form is:

3706 = 21 × 171 × 1091

Prime Factorization of 3718

Prime factors of 3718 are 2, 11, 13. Prime factorization of 3718 in exponential form is:

3718 = 21 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 3706 and 3718.

LCM(3706,3718) = 21 × 171 × 1091 × 111 × 132
LCM(3706,3718) = 6889454