What is the Least Common Multiple of 92214 and 92232?

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 92232 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 92232, than apply into the LCM equation.

GCF(92214,92232) = 18
LCM(92214,92232) = ( 92214 × 92232) / 18
LCM(92214,92232) = 8505081648 / 18
LCM(92214,92232) = 472504536

Least Common Multiple (LCM) of 92214 and 92232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92214 and 92232. First we will calculate the prime factors of 92214 and 92232.

Prime Factorization of 92214

Prime Factorization of 92232

Now multiplying the highest exponent prime factors to calculate the LCM of 92214 and 92232.

LCM(92214,92232) = 2³ × 3³ × 47¹ × 109¹ × 7¹ × 61¹
LCM(92214,92232) = 472504536