What is the Least Common Multiple of 4234 and 4250?

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 4234 and 4250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4234 and 4250, than apply into the LCM equation.

GCF(4234,4250) = 2
LCM(4234,4250) = ( 4234 × 4250) / 2
LCM(4234,4250) = 17994500 / 2
LCM(4234,4250) = 8997250

Least Common Multiple (LCM) of 4234 and 4250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4234 and 4250. First we will calculate the prime factors of 4234 and 4250.

Prime Factorization of 4234

Prime Factorization of 4250

Now multiplying the highest exponent prime factors to calculate the LCM of 4234 and 4250.

LCM(4234,4250) = 2¹ × 29¹ × 73¹ × 5³ × 17¹
LCM(4234,4250) = 8997250