What is the Least Common Multiple of 70250 and 70255?

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 70250 and 70255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70250 and 70255, than apply into the LCM equation.

GCF(70250,70255) = 5
LCM(70250,70255) = ( 70250 × 70255) / 5
LCM(70250,70255) = 4935413750 / 5
LCM(70250,70255) = 987082750

Least Common Multiple (LCM) of 70250 and 70255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70250 and 70255. First we will calculate the prime factors of 70250 and 70255.

Prime Factorization of 70250

Prime Factorization of 70255

Now multiplying the highest exponent prime factors to calculate the LCM of 70250 and 70255.

LCM(70250,70255) = 2¹ × 5³ × 281¹ × 14051¹
LCM(70250,70255) = 987082750