What is the Least Common Multiple of 3930 and 3948?

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 3930 and 3948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3930 and 3948, than apply into the LCM equation.

GCF(3930,3948) = 6
LCM(3930,3948) = ( 3930 × 3948) / 6
LCM(3930,3948) = 15515640 / 6
LCM(3930,3948) = 2585940

Least Common Multiple (LCM) of 3930 and 3948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3948. First we will calculate the prime factors of 3930 and 3948.

Prime Factorization of 3930

Prime Factorization of 3948

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3948.

LCM(3930,3948) = 2² × 3¹ × 5¹ × 131¹ × 7¹ × 47¹
LCM(3930,3948) = 2585940