What is the Least Common Multiple of 95225 and 95238?

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 95225 and 95238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95225 and 95238, than apply into the LCM equation.

GCF(95225,95238) = 13
LCM(95225,95238) = ( 95225 × 95238) / 13
LCM(95225,95238) = 9069038550 / 13
LCM(95225,95238) = 697618350

Least Common Multiple (LCM) of 95225 and 95238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95225 and 95238. First we will calculate the prime factors of 95225 and 95238.

Prime Factorization of 95225

Prime Factorization of 95238

Now multiplying the highest exponent prime factors to calculate the LCM of 95225 and 95238.

LCM(95225,95238) = 5² × 13¹ × 293¹ × 2¹ × 3² × 11¹ × 37¹
LCM(95225,95238) = 697618350