What is the Least Common Multiple of 16250 and 16262?

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 16250 and 16262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16250 and 16262, than apply into the LCM equation.

GCF(16250,16262) = 2
LCM(16250,16262) = ( 16250 × 16262) / 2
LCM(16250,16262) = 264257500 / 2
LCM(16250,16262) = 132128750

Least Common Multiple (LCM) of 16250 and 16262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16250 and 16262. First we will calculate the prime factors of 16250 and 16262.

Prime Factorization of 16250

Prime Factorization of 16262

Now multiplying the highest exponent prime factors to calculate the LCM of 16250 and 16262.

LCM(16250,16262) = 2¹ × 5⁴ × 13¹ × 47¹ × 173¹
LCM(16250,16262) = 132128750