What is the Least Common Multiple of 95270 and 95284?

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 95270 and 95284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95270 and 95284, than apply into the LCM equation.

GCF(95270,95284) = 14
LCM(95270,95284) = ( 95270 × 95284) / 14
LCM(95270,95284) = 9077706680 / 14
LCM(95270,95284) = 648407620

Least Common Multiple (LCM) of 95270 and 95284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95270 and 95284. First we will calculate the prime factors of 95270 and 95284.

Prime Factorization of 95270

Prime Factorization of 95284

Now multiplying the highest exponent prime factors to calculate the LCM of 95270 and 95284.

LCM(95270,95284) = 2² × 5¹ × 7¹ × 1361¹ × 41¹ × 83¹
LCM(95270,95284) = 648407620