What is the Least Common Multiple of 45276 and 45293?

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 45276 and 45293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45276 and 45293, than apply into the LCM equation.

GCF(45276,45293) = 1
LCM(45276,45293) = ( 45276 × 45293) / 1
LCM(45276,45293) = 2050685868 / 1
LCM(45276,45293) = 2050685868

Least Common Multiple (LCM) of 45276 and 45293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45276 and 45293. First we will calculate the prime factors of 45276 and 45293.

Prime Factorization of 45276

Prime Factorization of 45293

Now multiplying the highest exponent prime factors to calculate the LCM of 45276 and 45293.

LCM(45276,45293) = 2² × 3¹ × 7³ × 11¹ × 45293¹
LCM(45276,45293) = 2050685868