What is the Least Common Multiple of 93414 and 93430?

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 93414 and 93430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93414 and 93430, than apply into the LCM equation.

GCF(93414,93430) = 2
LCM(93414,93430) = ( 93414 × 93430) / 2
LCM(93414,93430) = 8727670020 / 2
LCM(93414,93430) = 4363835010

Least Common Multiple (LCM) of 93414 and 93430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93414 and 93430. First we will calculate the prime factors of 93414 and 93430.

Prime Factorization of 93414

Prime Factorization of 93430

Now multiplying the highest exponent prime factors to calculate the LCM of 93414 and 93430.

LCM(93414,93430) = 2¹ × 3¹ × 15569¹ × 5¹ × 9343¹
LCM(93414,93430) = 4363835010