What is the Least Common Multiple of 95294 and 95300?

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 95294 and 95300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95294 and 95300, than apply into the LCM equation.

GCF(95294,95300) = 2
LCM(95294,95300) = ( 95294 × 95300) / 2
LCM(95294,95300) = 9081518200 / 2
LCM(95294,95300) = 4540759100

Least Common Multiple (LCM) of 95294 and 95300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95294 and 95300. First we will calculate the prime factors of 95294 and 95300.

Prime Factorization of 95294

Prime Factorization of 95300

Now multiplying the highest exponent prime factors to calculate the LCM of 95294 and 95300.

LCM(95294,95300) = 2² × 29¹ × 31¹ × 53¹ × 5² × 953¹
LCM(95294,95300) = 4540759100