What is the Least Common Multiple of 3914 and 3932?

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 3914 and 3932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3914 and 3932, than apply into the LCM equation.

GCF(3914,3932) = 2
LCM(3914,3932) = ( 3914 × 3932) / 2
LCM(3914,3932) = 15389848 / 2
LCM(3914,3932) = 7694924

Least Common Multiple (LCM) of 3914 and 3932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3914 and 3932. First we will calculate the prime factors of 3914 and 3932.

Prime Factorization of 3914

Prime Factorization of 3932

Now multiplying the highest exponent prime factors to calculate the LCM of 3914 and 3932.

LCM(3914,3932) = 2² × 19¹ × 103¹ × 983¹
LCM(3914,3932) = 7694924