What is the Least Common Multiple of 92214 and 92233?

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 92233 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 92233, than apply into the LCM equation.

GCF(92214,92233) = 1
LCM(92214,92233) = ( 92214 × 92233) / 1
LCM(92214,92233) = 8505173862 / 1
LCM(92214,92233) = 8505173862

Least Common Multiple (LCM) of 92214 and 92233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92214 and 92233. First we will calculate the prime factors of 92214 and 92233.

Prime Factorization of 92214

Prime Factorization of 92233

Now multiplying the highest exponent prime factors to calculate the LCM of 92214 and 92233.

LCM(92214,92233) = 2¹ × 3² × 47¹ × 109¹ × 92233¹
LCM(92214,92233) = 8505173862