What is the Least Common Multiple of 44305 and 44315?

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 44305 and 44315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44305 and 44315, than apply into the LCM equation.

GCF(44305,44315) = 5
LCM(44305,44315) = ( 44305 × 44315) / 5
LCM(44305,44315) = 1963376075 / 5
LCM(44305,44315) = 392675215

Least Common Multiple (LCM) of 44305 and 44315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44305 and 44315. First we will calculate the prime factors of 44305 and 44315.

Prime Factorization of 44305

Prime Factorization of 44315

Now multiplying the highest exponent prime factors to calculate the LCM of 44305 and 44315.

LCM(44305,44315) = 5¹ × 8861¹ × 8863¹
LCM(44305,44315) = 392675215