What is the Least Common Multiple of 3912 and 3927?

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 3912 and 3927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3912 and 3927, than apply into the LCM equation.

GCF(3912,3927) = 3
LCM(3912,3927) = ( 3912 × 3927) / 3
LCM(3912,3927) = 15362424 / 3
LCM(3912,3927) = 5120808

Least Common Multiple (LCM) of 3912 and 3927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3912 and 3927. First we will calculate the prime factors of 3912 and 3927.

Prime Factorization of 3912

Prime Factorization of 3927

Now multiplying the highest exponent prime factors to calculate the LCM of 3912 and 3927.

LCM(3912,3927) = 2³ × 3¹ × 163¹ × 7¹ × 11¹ × 17¹
LCM(3912,3927) = 5120808