What is the Least Common Multiple of 93714 and 93730?

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 93714 and 93730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93714 and 93730, than apply into the LCM equation.

GCF(93714,93730) = 2
LCM(93714,93730) = ( 93714 × 93730) / 2
LCM(93714,93730) = 8783813220 / 2
LCM(93714,93730) = 4391906610

Least Common Multiple (LCM) of 93714 and 93730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93714 and 93730. First we will calculate the prime factors of 93714 and 93730.

Prime Factorization of 93714

Prime Factorization of 93730

Now multiplying the highest exponent prime factors to calculate the LCM of 93714 and 93730.

LCM(93714,93730) = 2¹ × 3¹ × 15619¹ × 5¹ × 7¹ × 13¹ × 103¹
LCM(93714,93730) = 4391906610