What is the Least Common Multiple of 3789 and 3807?
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 3789 and 3807 is 1602747.
LCM(3789,3807) = 1602747
Least Common Multiple of 3789 and 3807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3789 and 3807, than apply into the LCM equation.
GCF(3789,3807) = 9
LCM(3789,3807) = ( 3789 × 3807) / 9
LCM(3789,3807) = 14424723 / 9
LCM(3789,3807) = 1602747
Least Common Multiple (LCM) of 3789 and 3807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3789 and 3807. First we will calculate the prime factors of 3789 and 3807.
Prime Factorization of 3789
Prime factors of 3789 are 3, 421. Prime factorization of 3789 in exponential form is:
3789 = 32 × 4211
Prime Factorization of 3807
Prime factors of 3807 are 3, 47. Prime factorization of 3807 in exponential form is:
3807 = 34 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 3789 and 3807.
LCM(3789,3807) = 34 × 4211 × 471
LCM(3789,3807) = 1602747
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