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What is the Least Common Multiple of 3769 and 3780?

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 3769 and 3780 is 14246820.

LCM(3769,3780) = 14246820

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Least Common Multiple of 3769 and 3780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3769 and 3780, than apply into the LCM equation.

GCF(3769,3780) = 1
LCM(3769,3780) = ( 3769 × 3780) / 1
LCM(3769,3780) = 14246820 / 1
LCM(3769,3780) = 14246820

Least Common Multiple (LCM) of 3769 and 3780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3769 and 3780. First we will calculate the prime factors of 3769 and 3780.

Prime Factorization of 3769

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3769 and 3780.

LCM(3769,3780) = 37691 × 22 × 33 × 51 × 71
LCM(3769,3780) = 14246820