What is the Least Common Multiple of 93930 and 93946?

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 93930 and 93946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93930 and 93946, than apply into the LCM equation.

GCF(93930,93946) = 2
LCM(93930,93946) = ( 93930 × 93946) / 2
LCM(93930,93946) = 8824347780 / 2
LCM(93930,93946) = 4412173890

Least Common Multiple (LCM) of 93930 and 93946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93930 and 93946. First we will calculate the prime factors of 93930 and 93946.

Prime Factorization of 93930

Prime Factorization of 93946

Now multiplying the highest exponent prime factors to calculate the LCM of 93930 and 93946.

LCM(93930,93946) = 2¹ × 3¹ × 5¹ × 31¹ × 101¹ × 107¹ × 439¹
LCM(93930,93946) = 4412173890