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What is the Least Common Multiple of 3734 and 3754?

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 3734 and 3754 is 7008718.

LCM(3734,3754) = 7008718

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Least Common Multiple of 3734 and 3754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3734 and 3754, than apply into the LCM equation.

GCF(3734,3754) = 2
LCM(3734,3754) = ( 3734 × 3754) / 2
LCM(3734,3754) = 14017436 / 2
LCM(3734,3754) = 7008718

Least Common Multiple (LCM) of 3734 and 3754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3734 and 3754. First we will calculate the prime factors of 3734 and 3754.

Prime Factorization of 3734

Prime factors of 3734 are 2, 1867. Prime factorization of 3734 in exponential form is:

3734 = 21 × 18671

Prime Factorization of 3754

Prime factors of 3754 are 2, 1877. Prime factorization of 3754 in exponential form is:

3754 = 21 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 3734 and 3754.

LCM(3734,3754) = 21 × 18671 × 18771
LCM(3734,3754) = 7008718