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What is the Least Common Multiple of 3780 and 3787?

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 3787 is 2044980.

LCM(3780,3787) = 2044980

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Least Common Multiple of 3780 and 3787 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 3787, than apply into the LCM equation.

GCF(3780,3787) = 7
LCM(3780,3787) = ( 3780 × 3787) / 7
LCM(3780,3787) = 14314860 / 7
LCM(3780,3787) = 2044980

Least Common Multiple (LCM) of 3780 and 3787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3780 and 3787. First we will calculate the prime factors of 3780 and 3787.

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 3787

Prime factors of 3787 are 7, 541. Prime factorization of 3787 in exponential form is:

3787 = 71 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 3780 and 3787.

LCM(3780,3787) = 22 × 33 × 51 × 71 × 5411
LCM(3780,3787) = 2044980