What is the Least Common Multiple of 45261 and 45267?

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 45261 and 45267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45261 and 45267, than apply into the LCM equation.

GCF(45261,45267) = 3
LCM(45261,45267) = ( 45261 × 45267) / 3
LCM(45261,45267) = 2048829687 / 3
LCM(45261,45267) = 682943229

Least Common Multiple (LCM) of 45261 and 45267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45261 and 45267. First we will calculate the prime factors of 45261 and 45267.

Prime Factorization of 45261

Prime Factorization of 45267

Now multiplying the highest exponent prime factors to calculate the LCM of 45261 and 45267.

LCM(45261,45267) = 3² × 47¹ × 107¹ × 79¹ × 191¹
LCM(45261,45267) = 682943229