What is the Least Common Multiple of 45638 and 45650?

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 45638 and 45650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45638 and 45650, than apply into the LCM equation.

GCF(45638,45650) = 2
LCM(45638,45650) = ( 45638 × 45650) / 2
LCM(45638,45650) = 2083374700 / 2
LCM(45638,45650) = 1041687350

Least Common Multiple (LCM) of 45638 and 45650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45638 and 45650. First we will calculate the prime factors of 45638 and 45650.

Prime Factorization of 45638

Prime Factorization of 45650

Now multiplying the highest exponent prime factors to calculate the LCM of 45638 and 45650.

LCM(45638,45650) = 2¹ × 19¹ × 1201¹ × 5² × 11¹ × 83¹
LCM(45638,45650) = 1041687350