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What is the Least Common Multiple of 3742 and 3746?

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 3742 and 3746 is 7008766.

LCM(3742,3746) = 7008766

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Least Common Multiple of 3742 and 3746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3742 and 3746, than apply into the LCM equation.

GCF(3742,3746) = 2
LCM(3742,3746) = ( 3742 × 3746) / 2
LCM(3742,3746) = 14017532 / 2
LCM(3742,3746) = 7008766

Least Common Multiple (LCM) of 3742 and 3746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3742 and 3746. First we will calculate the prime factors of 3742 and 3746.

Prime Factorization of 3742

Prime factors of 3742 are 2, 1871. Prime factorization of 3742 in exponential form is:

3742 = 21 × 18711

Prime Factorization of 3746

Prime factors of 3746 are 2, 1873. Prime factorization of 3746 in exponential form is:

3746 = 21 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 3742 and 3746.

LCM(3742,3746) = 21 × 18711 × 18731
LCM(3742,3746) = 7008766