What is the Least Common Multiple of 3768 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 of 3768 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 3768 and 3780, than apply into the LCM equation.

GCF(3768,3780) = 12
LCM(3768,3780) = ( 3768 × 3780) / 12
LCM(3768,3780) = 14243040 / 12
LCM(3768,3780) = 1186920

Least Common Multiple (LCM) of 3768 and 3780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3780. First we will calculate the prime factors of 3768 and 3780.

Prime Factorization of 3768

Prime Factorization of 3780

Now multiplying the highest exponent prime factors to calculate the LCM of 3768 and 3780.

LCM(3768,3780) = 2³ × 3³ × 157¹ × 5¹ × 7¹
LCM(3768,3780) = 1186920