What is the Least Common Multiple of 92204 and 92210?

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 92204 and 92210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92204 and 92210, than apply into the LCM equation.

GCF(92204,92210) = 2
LCM(92204,92210) = ( 92204 × 92210) / 2
LCM(92204,92210) = 8502130840 / 2
LCM(92204,92210) = 4251065420

Least Common Multiple (LCM) of 92204 and 92210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92204 and 92210. First we will calculate the prime factors of 92204 and 92210.

Prime Factorization of 92204

Prime Factorization of 92210

Now multiplying the highest exponent prime factors to calculate the LCM of 92204 and 92210.

LCM(92204,92210) = 2² × 7¹ × 37¹ × 89¹ × 5¹ × 9221¹
LCM(92204,92210) = 4251065420