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What is the Least Common Multiple of 3780 and 3786?

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 3780 and 3786 is 2385180.

LCM(3780,3786) = 2385180

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Least Common Multiple of 3780 and 3786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3780 and 3786, than apply into the LCM equation.

GCF(3780,3786) = 6
LCM(3780,3786) = ( 3780 × 3786) / 6
LCM(3780,3786) = 14311080 / 6
LCM(3780,3786) = 2385180

Least Common Multiple (LCM) of 3780 and 3786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3780 and 3786. First we will calculate the prime factors of 3780 and 3786.

Prime Factorization of 3780

Prime factors of 3780 are 2, 3, 5, 7. Prime factorization of 3780 in exponential form is:

3780 = 22 × 33 × 51 × 71

Prime Factorization of 3786

Prime factors of 3786 are 2, 3, 631. Prime factorization of 3786 in exponential form is:

3786 = 21 × 31 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 3780 and 3786.

LCM(3780,3786) = 22 × 33 × 51 × 71 × 6311
LCM(3780,3786) = 2385180