What is the Least Common Multiple of 45398 and 45406?

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 45398 and 45406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45398 and 45406, than apply into the LCM equation.

GCF(45398,45406) = 2
LCM(45398,45406) = ( 45398 × 45406) / 2
LCM(45398,45406) = 2061341588 / 2
LCM(45398,45406) = 1030670794

Least Common Multiple (LCM) of 45398 and 45406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45398 and 45406. First we will calculate the prime factors of 45398 and 45406.

Prime Factorization of 45398

Prime Factorization of 45406

Now multiplying the highest exponent prime factors to calculate the LCM of 45398 and 45406.

LCM(45398,45406) = 2¹ × 22699¹ × 73¹ × 311¹
LCM(45398,45406) = 1030670794