What is the Least Common Multiple of 44225 and 44236?

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 44225 and 44236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44225 and 44236, than apply into the LCM equation.

GCF(44225,44236) = 1
LCM(44225,44236) = ( 44225 × 44236) / 1
LCM(44225,44236) = 1956337100 / 1
LCM(44225,44236) = 1956337100

Least Common Multiple (LCM) of 44225 and 44236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44225 and 44236. First we will calculate the prime factors of 44225 and 44236.

Prime Factorization of 44225

Prime Factorization of 44236

Now multiplying the highest exponent prime factors to calculate the LCM of 44225 and 44236.

LCM(44225,44236) = 5² × 29¹ × 61¹ × 2² × 11059¹
LCM(44225,44236) = 1956337100