What is the Least Common Multiple of 3930 and 3936?

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 3936 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 3936, than apply into the LCM equation.

GCF(3930,3936) = 6
LCM(3930,3936) = ( 3930 × 3936) / 6
LCM(3930,3936) = 15468480 / 6
LCM(3930,3936) = 2578080

Least Common Multiple (LCM) of 3930 and 3936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3936. First we will calculate the prime factors of 3930 and 3936.

Prime Factorization of 3930

Prime Factorization of 3936

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3936.

LCM(3930,3936) = 2⁵ × 3¹ × 5¹ × 131¹ × 41¹
LCM(3930,3936) = 2578080