What is the Least Common Multiple of 45279 and 45291?

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 45279 and 45291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45279 and 45291, than apply into the LCM equation.

GCF(45279,45291) = 3
LCM(45279,45291) = ( 45279 × 45291) / 3
LCM(45279,45291) = 2050731189 / 3
LCM(45279,45291) = 683577063

Least Common Multiple (LCM) of 45279 and 45291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45279 and 45291. First we will calculate the prime factors of 45279 and 45291.

Prime Factorization of 45279

Prime Factorization of 45291

Now multiplying the highest exponent prime factors to calculate the LCM of 45279 and 45291.

LCM(45279,45291) = 3⁴ × 13¹ × 43¹ × 31¹ × 487¹
LCM(45279,45291) = 683577063