What is the Least Common Multiple of 45619 and 45638?

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 45619 and 45638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45619 and 45638, than apply into the LCM equation.

GCF(45619,45638) = 19
LCM(45619,45638) = ( 45619 × 45638) / 19
LCM(45619,45638) = 2081959922 / 19
LCM(45619,45638) = 109576838

Least Common Multiple (LCM) of 45619 and 45638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45619 and 45638. First we will calculate the prime factors of 45619 and 45638.

Prime Factorization of 45619

Prime Factorization of 45638

Now multiplying the highest exponent prime factors to calculate the LCM of 45619 and 45638.

LCM(45619,45638) = 7⁴ × 19¹ × 2¹ × 1201¹
LCM(45619,45638) = 109576838