What is the Least Common Multiple of 35010 and 35015?

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 35010 and 35015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35010 and 35015, than apply into the LCM equation.

GCF(35010,35015) = 5
LCM(35010,35015) = ( 35010 × 35015) / 5
LCM(35010,35015) = 1225875150 / 5
LCM(35010,35015) = 245175030

Least Common Multiple (LCM) of 35010 and 35015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35010 and 35015. First we will calculate the prime factors of 35010 and 35015.

Prime Factorization of 35010

Prime Factorization of 35015

Now multiplying the highest exponent prime factors to calculate the LCM of 35010 and 35015.

LCM(35010,35015) = 2¹ × 3² × 5¹ × 389¹ × 47¹ × 149¹
LCM(35010,35015) = 245175030