What is the Least Common Multiple of 93934 and 93942?

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 93934 and 93942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93934 and 93942, than apply into the LCM equation.

GCF(93934,93942) = 2
LCM(93934,93942) = ( 93934 × 93942) / 2
LCM(93934,93942) = 8824347828 / 2
LCM(93934,93942) = 4412173914

Least Common Multiple (LCM) of 93934 and 93942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93934 and 93942. First we will calculate the prime factors of 93934 and 93942.

Prime Factorization of 93934

Prime Factorization of 93942

Now multiplying the highest exponent prime factors to calculate the LCM of 93934 and 93942.

LCM(93934,93942) = 2¹ × 67¹ × 701¹ × 3² × 17¹ × 307¹
LCM(93934,93942) = 4412173914