What is the Least Common Multiple of 95345 and 95363?

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 95345 and 95363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95345 and 95363, than apply into the LCM equation.

GCF(95345,95363) = 1
LCM(95345,95363) = ( 95345 × 95363) / 1
LCM(95345,95363) = 9092385235 / 1
LCM(95345,95363) = 9092385235

Least Common Multiple (LCM) of 95345 and 95363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95345 and 95363. First we will calculate the prime factors of 95345 and 95363.

Prime Factorization of 95345

Prime Factorization of 95363

Now multiplying the highest exponent prime factors to calculate the LCM of 95345 and 95363.

LCM(95345,95363) = 5¹ × 19069¹ × 47¹ × 2029¹
LCM(95345,95363) = 9092385235