What is the Least Common Multiple of 92220 and 92234?

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 92220 and 92234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92220 and 92234, than apply into the LCM equation.

GCF(92220,92234) = 2
LCM(92220,92234) = ( 92220 × 92234) / 2
LCM(92220,92234) = 8505819480 / 2
LCM(92220,92234) = 4252909740

Least Common Multiple (LCM) of 92220 and 92234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92220 and 92234. First we will calculate the prime factors of 92220 and 92234.

Prime Factorization of 92220

Prime Factorization of 92234

Now multiplying the highest exponent prime factors to calculate the LCM of 92220 and 92234.

LCM(92220,92234) = 2² × 3¹ × 5¹ × 29¹ × 53¹ × 107¹ × 431¹
LCM(92220,92234) = 4252909740