What is the Least Common Multiple of 92214 and 92230?

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 92214 and 92230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92214 and 92230, than apply into the LCM equation.

GCF(92214,92230) = 2
LCM(92214,92230) = ( 92214 × 92230) / 2
LCM(92214,92230) = 8504897220 / 2
LCM(92214,92230) = 4252448610

Least Common Multiple (LCM) of 92214 and 92230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92214 and 92230. First we will calculate the prime factors of 92214 and 92230.

Prime Factorization of 92214

Prime Factorization of 92230

Now multiplying the highest exponent prime factors to calculate the LCM of 92214 and 92230.

LCM(92214,92230) = 2¹ × 3² × 47¹ × 109¹ × 5¹ × 23¹ × 401¹
LCM(92214,92230) = 4252448610