What is the Least Common Multiple of 45266 and 45281?

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 45266 and 45281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45266 and 45281, than apply into the LCM equation.

GCF(45266,45281) = 1
LCM(45266,45281) = ( 45266 × 45281) / 1
LCM(45266,45281) = 2049689746 / 1
LCM(45266,45281) = 2049689746

Least Common Multiple (LCM) of 45266 and 45281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45266 and 45281. First we will calculate the prime factors of 45266 and 45281.

Prime Factorization of 45266

Prime Factorization of 45281

Now multiplying the highest exponent prime factors to calculate the LCM of 45266 and 45281.

LCM(45266,45281) = 2¹ × 13¹ × 1741¹ × 45281¹
LCM(45266,45281) = 2049689746