What is the Least Common Multiple of 16274 and 16291?

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 16274 and 16291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16274 and 16291, than apply into the LCM equation.

GCF(16274,16291) = 1
LCM(16274,16291) = ( 16274 × 16291) / 1
LCM(16274,16291) = 265119734 / 1
LCM(16274,16291) = 265119734

Least Common Multiple (LCM) of 16274 and 16291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16274 and 16291. First we will calculate the prime factors of 16274 and 16291.

Prime Factorization of 16274

Prime Factorization of 16291

Now multiplying the highest exponent prime factors to calculate the LCM of 16274 and 16291.

LCM(16274,16291) = 2¹ × 79¹ × 103¹ × 11¹ × 1481¹
LCM(16274,16291) = 265119734