What is the Least Common Multiple of 45638 and 45655?

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 45655 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 45655, than apply into the LCM equation.

GCF(45638,45655) = 1
LCM(45638,45655) = ( 45638 × 45655) / 1
LCM(45638,45655) = 2083602890 / 1
LCM(45638,45655) = 2083602890

Least Common Multiple (LCM) of 45638 and 45655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45638 and 45655. First we will calculate the prime factors of 45638 and 45655.

Prime Factorization of 45638

Prime Factorization of 45655

Now multiplying the highest exponent prime factors to calculate the LCM of 45638 and 45655.

LCM(45638,45655) = 2¹ × 19¹ × 1201¹ × 5¹ × 23¹ × 397¹
LCM(45638,45655) = 2083602890