What is the Least Common Multiple of 3938 and 3946?

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 3938 and 3946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3938 and 3946, than apply into the LCM equation.

GCF(3938,3946) = 2
LCM(3938,3946) = ( 3938 × 3946) / 2
LCM(3938,3946) = 15539348 / 2
LCM(3938,3946) = 7769674

Least Common Multiple (LCM) of 3938 and 3946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3946. First we will calculate the prime factors of 3938 and 3946.

Prime Factorization of 3938

Prime Factorization of 3946

Now multiplying the highest exponent prime factors to calculate the LCM of 3938 and 3946.

LCM(3938,3946) = 2¹ × 11¹ × 179¹ × 1973¹
LCM(3938,3946) = 7769674