What is the Least Common Multiple of 3924 and 3938?

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 3924 and 3938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3924 and 3938, than apply into the LCM equation.

GCF(3924,3938) = 2
LCM(3924,3938) = ( 3924 × 3938) / 2
LCM(3924,3938) = 15452712 / 2
LCM(3924,3938) = 7726356

Least Common Multiple (LCM) of 3924 and 3938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3924 and 3938. First we will calculate the prime factors of 3924 and 3938.

Prime Factorization of 3924

Prime Factorization of 3938

Now multiplying the highest exponent prime factors to calculate the LCM of 3924 and 3938.

LCM(3924,3938) = 2² × 3² × 109¹ × 11¹ × 179¹
LCM(3924,3938) = 7726356