What is the Least Common Multiple of 44275 and 44293?

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 44275 and 44293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44275 and 44293, than apply into the LCM equation.

GCF(44275,44293) = 1
LCM(44275,44293) = ( 44275 × 44293) / 1
LCM(44275,44293) = 1961072575 / 1
LCM(44275,44293) = 1961072575

Least Common Multiple (LCM) of 44275 and 44293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44275 and 44293. First we will calculate the prime factors of 44275 and 44293.

Prime Factorization of 44275

Prime Factorization of 44293

Now multiplying the highest exponent prime factors to calculate the LCM of 44275 and 44293.

LCM(44275,44293) = 5² × 7¹ × 11¹ × 23¹ × 44293¹
LCM(44275,44293) = 1961072575