What is the Least Common Multiple of 95215 and 95221?

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 95215 and 95221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95215 and 95221, than apply into the LCM equation.

GCF(95215,95221) = 1
LCM(95215,95221) = ( 95215 × 95221) / 1
LCM(95215,95221) = 9066467515 / 1
LCM(95215,95221) = 9066467515

Least Common Multiple (LCM) of 95215 and 95221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95215 and 95221. First we will calculate the prime factors of 95215 and 95221.

Prime Factorization of 95215

Prime Factorization of 95221

Now multiplying the highest exponent prime factors to calculate the LCM of 95215 and 95221.

LCM(95215,95221) = 5¹ × 137¹ × 139¹ × 7¹ × 61¹ × 223¹
LCM(95215,95221) = 9066467515