What is the Least Common Multiple of 70275 and 70281?

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 70275 and 70281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70275 and 70281, than apply into the LCM equation.

GCF(70275,70281) = 3
LCM(70275,70281) = ( 70275 × 70281) / 3
LCM(70275,70281) = 4938997275 / 3
LCM(70275,70281) = 1646332425

Least Common Multiple (LCM) of 70275 and 70281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70275 and 70281. First we will calculate the prime factors of 70275 and 70281.

Prime Factorization of 70275

Prime Factorization of 70281

Now multiplying the highest exponent prime factors to calculate the LCM of 70275 and 70281.

LCM(70275,70281) = 3³ × 5² × 937¹ × 19¹ × 137¹
LCM(70275,70281) = 1646332425