What is the Least Common Multiple of 3946 and 3960?

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 3946 and 3960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3946 and 3960, than apply into the LCM equation.

GCF(3946,3960) = 2
LCM(3946,3960) = ( 3946 × 3960) / 2
LCM(3946,3960) = 15626160 / 2
LCM(3946,3960) = 7813080

Least Common Multiple (LCM) of 3946 and 3960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3946 and 3960. First we will calculate the prime factors of 3946 and 3960.

Prime Factorization of 3946

Prime Factorization of 3960

Now multiplying the highest exponent prime factors to calculate the LCM of 3946 and 3960.

LCM(3946,3960) = 2³ × 1973¹ × 3² × 5¹ × 11¹
LCM(3946,3960) = 7813080