What is the Least Common Multiple of 3807 and 3820?

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 of 3807 and 3820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3807 and 3820, than apply into the LCM equation.

GCF(3807,3820) = 1
LCM(3807,3820) = ( 3807 × 3820) / 1
LCM(3807,3820) = 14542740 / 1
LCM(3807,3820) = 14542740

Least Common Multiple (LCM) of 3807 and 3820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3807 and 3820. First we will calculate the prime factors of 3807 and 3820.

Prime Factorization of 3807

Prime Factorization of 3820

Now multiplying the highest exponent prime factors to calculate the LCM of 3807 and 3820.

LCM(3807,3820) = 3⁴ × 47¹ × 2² × 5¹ × 191¹
LCM(3807,3820) = 14542740