What is the Least Common Multiple of 44540 and 44545?

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 44540 and 44545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44540 and 44545, than apply into the LCM equation.

GCF(44540,44545) = 5
LCM(44540,44545) = ( 44540 × 44545) / 5
LCM(44540,44545) = 1984034300 / 5
LCM(44540,44545) = 396806860

Least Common Multiple (LCM) of 44540 and 44545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44540 and 44545. First we will calculate the prime factors of 44540 and 44545.

Prime Factorization of 44540

Prime Factorization of 44545

Now multiplying the highest exponent prime factors to calculate the LCM of 44540 and 44545.

LCM(44540,44545) = 2² × 5¹ × 17¹ × 131¹ × 59¹ × 151¹
LCM(44540,44545) = 396806860