What is the Least Common Multiple of 95013 and 95030?

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 95013 and 95030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95013 and 95030, than apply into the LCM equation.

GCF(95013,95030) = 17
LCM(95013,95030) = ( 95013 × 95030) / 17
LCM(95013,95030) = 9029085390 / 17
LCM(95013,95030) = 531122670

Least Common Multiple (LCM) of 95013 and 95030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95013 and 95030. First we will calculate the prime factors of 95013 and 95030.

Prime Factorization of 95013

Prime Factorization of 95030

Now multiplying the highest exponent prime factors to calculate the LCM of 95013 and 95030.

LCM(95013,95030) = 3⁵ × 17¹ × 23¹ × 2¹ × 5¹ × 13¹ × 43¹
LCM(95013,95030) = 531122670