What is the Least Common Multiple of 3923 and 3930?

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 3923 and 3930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3923 and 3930, than apply into the LCM equation.

GCF(3923,3930) = 1
LCM(3923,3930) = ( 3923 × 3930) / 1
LCM(3923,3930) = 15417390 / 1
LCM(3923,3930) = 15417390

Least Common Multiple (LCM) of 3923 and 3930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3923 and 3930. First we will calculate the prime factors of 3923 and 3930.

Prime Factorization of 3923

Prime Factorization of 3930

Now multiplying the highest exponent prime factors to calculate the LCM of 3923 and 3930.

LCM(3923,3930) = 3923¹ × 2¹ × 3¹ × 5¹ × 131¹
LCM(3923,3930) = 15417390