What is the Least Common Multiple of 44814 and 44824?

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 44814 and 44824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44814 and 44824, than apply into the LCM equation.

GCF(44814,44824) = 2
LCM(44814,44824) = ( 44814 × 44824) / 2
LCM(44814,44824) = 2008742736 / 2
LCM(44814,44824) = 1004371368

Least Common Multiple (LCM) of 44814 and 44824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44814 and 44824. First we will calculate the prime factors of 44814 and 44824.

Prime Factorization of 44814

Prime Factorization of 44824

Now multiplying the highest exponent prime factors to calculate the LCM of 44814 and 44824.

LCM(44814,44824) = 2³ × 3¹ × 7¹ × 11¹ × 97¹ × 13¹ × 431¹
LCM(44814,44824) = 1004371368