What is the Least Common Multiple of 71010 and 71030?

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 71010 and 71030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71010 and 71030, than apply into the LCM equation.

GCF(71010,71030) = 10
LCM(71010,71030) = ( 71010 × 71030) / 10
LCM(71010,71030) = 5043840300 / 10
LCM(71010,71030) = 504384030

Least Common Multiple (LCM) of 71010 and 71030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71010 and 71030. First we will calculate the prime factors of 71010 and 71030.

Prime Factorization of 71010

Prime Factorization of 71030

Now multiplying the highest exponent prime factors to calculate the LCM of 71010 and 71030.

LCM(71010,71030) = 2¹ × 3³ × 5¹ × 263¹ × 7103¹
LCM(71010,71030) = 504384030