What is the Least Common Multiple of 44454 and 44464?

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 44454 and 44464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44454 and 44464, than apply into the LCM equation.

GCF(44454,44464) = 2
LCM(44454,44464) = ( 44454 × 44464) / 2
LCM(44454,44464) = 1976602656 / 2
LCM(44454,44464) = 988301328

Least Common Multiple (LCM) of 44454 and 44464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44454 and 44464. First we will calculate the prime factors of 44454 and 44464.

Prime Factorization of 44454

Prime Factorization of 44464

Now multiplying the highest exponent prime factors to calculate the LCM of 44454 and 44464.

LCM(44454,44464) = 2⁴ × 3¹ × 31¹ × 239¹ × 7¹ × 397¹
LCM(44454,44464) = 988301328