What is the Least Common Multiple of 95209 and 95228?

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 95209 and 95228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95209 and 95228, than apply into the LCM equation.

GCF(95209,95228) = 19
LCM(95209,95228) = ( 95209 × 95228) / 19
LCM(95209,95228) = 9066562652 / 19
LCM(95209,95228) = 477187508

Least Common Multiple (LCM) of 95209 and 95228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95209 and 95228. First we will calculate the prime factors of 95209 and 95228.

Prime Factorization of 95209

Prime Factorization of 95228

Now multiplying the highest exponent prime factors to calculate the LCM of 95209 and 95228.

LCM(95209,95228) = 19¹ × 5011¹ × 2² × 7¹ × 179¹
LCM(95209,95228) = 477187508