What is the Least Common Multiple of 70250 and 70256?

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 70256 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 70256, than apply into the LCM equation.

GCF(70250,70256) = 2
LCM(70250,70256) = ( 70250 × 70256) / 2
LCM(70250,70256) = 4935484000 / 2
LCM(70250,70256) = 2467742000

Least Common Multiple (LCM) of 70250 and 70256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70250 and 70256. First we will calculate the prime factors of 70250 and 70256.

Prime Factorization of 70250

Prime Factorization of 70256

Now multiplying the highest exponent prime factors to calculate the LCM of 70250 and 70256.

LCM(70250,70256) = 2⁴ × 5³ × 281¹ × 4391¹
LCM(70250,70256) = 2467742000