What is the Least Common Multiple of 44644 and 44656?

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 44644 and 44656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44644 and 44656, than apply into the LCM equation.

GCF(44644,44656) = 4
LCM(44644,44656) = ( 44644 × 44656) / 4
LCM(44644,44656) = 1993622464 / 4
LCM(44644,44656) = 498405616

Least Common Multiple (LCM) of 44644 and 44656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44644 and 44656. First we will calculate the prime factors of 44644 and 44656.

Prime Factorization of 44644

Prime Factorization of 44656

Now multiplying the highest exponent prime factors to calculate the LCM of 44644 and 44656.

LCM(44644,44656) = 2⁴ × 11161¹ × 2791¹
LCM(44644,44656) = 498405616