What is the Least Common Multiple of 44990 and 45001?

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 44990 and 45001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44990 and 45001, than apply into the LCM equation.

GCF(44990,45001) = 11
LCM(44990,45001) = ( 44990 × 45001) / 11
LCM(44990,45001) = 2024594990 / 11
LCM(44990,45001) = 184054090

Least Common Multiple (LCM) of 44990 and 45001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44990 and 45001. First we will calculate the prime factors of 44990 and 45001.

Prime Factorization of 44990

Prime Factorization of 45001

Now multiplying the highest exponent prime factors to calculate the LCM of 44990 and 45001.

LCM(44990,45001) = 2¹ × 5¹ × 11¹ × 409¹ × 4091¹
LCM(44990,45001) = 184054090