What is the Least Common Multiple of 45889 and 45904?

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 45889 and 45904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45889 and 45904, than apply into the LCM equation.

GCF(45889,45904) = 1
LCM(45889,45904) = ( 45889 × 45904) / 1
LCM(45889,45904) = 2106488656 / 1
LCM(45889,45904) = 2106488656

Least Common Multiple (LCM) of 45889 and 45904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45889 and 45904. First we will calculate the prime factors of 45889 and 45904.

Prime Factorization of 45889

Prime Factorization of 45904

Now multiplying the highest exponent prime factors to calculate the LCM of 45889 and 45904.

LCM(45889,45904) = 109¹ × 421¹ × 2⁴ × 19¹ × 151¹
LCM(45889,45904) = 2106488656