What is the Least Common Multiple of 70450 and 70470?

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 70450 and 70470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70450 and 70470, than apply into the LCM equation.

GCF(70450,70470) = 10
LCM(70450,70470) = ( 70450 × 70470) / 10
LCM(70450,70470) = 4964611500 / 10
LCM(70450,70470) = 496461150

Least Common Multiple (LCM) of 70450 and 70470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70450 and 70470. First we will calculate the prime factors of 70450 and 70470.

Prime Factorization of 70450

Prime Factorization of 70470

Now multiplying the highest exponent prime factors to calculate the LCM of 70450 and 70470.

LCM(70450,70470) = 2¹ × 5² × 1409¹ × 3⁵ × 29¹
LCM(70450,70470) = 496461150