What is the Least Common Multiple of 70900 and 70905?

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 70900 and 70905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70900 and 70905, than apply into the LCM equation.

GCF(70900,70905) = 5
LCM(70900,70905) = ( 70900 × 70905) / 5
LCM(70900,70905) = 5027164500 / 5
LCM(70900,70905) = 1005432900

Least Common Multiple (LCM) of 70900 and 70905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70900 and 70905. First we will calculate the prime factors of 70900 and 70905.

Prime Factorization of 70900

Prime Factorization of 70905

Now multiplying the highest exponent prime factors to calculate the LCM of 70900 and 70905.

LCM(70900,70905) = 2² × 5² × 709¹ × 3¹ × 29¹ × 163¹
LCM(70900,70905) = 1005432900