What is the Least Common Multiple of 4250 and 4256?

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 4250 and 4256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4250 and 4256, than apply into the LCM equation.

GCF(4250,4256) = 2
LCM(4250,4256) = ( 4250 × 4256) / 2
LCM(4250,4256) = 18088000 / 2
LCM(4250,4256) = 9044000

Least Common Multiple (LCM) of 4250 and 4256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4250 and 4256. First we will calculate the prime factors of 4250 and 4256.

Prime Factorization of 4250

Prime Factorization of 4256

Now multiplying the highest exponent prime factors to calculate the LCM of 4250 and 4256.

LCM(4250,4256) = 2⁵ × 5³ × 17¹ × 7¹ × 19¹
LCM(4250,4256) = 9044000