What is the Least Common Multiple of 44335 and 44341?

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 44335 and 44341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44335 and 44341, than apply into the LCM equation.

GCF(44335,44341) = 1
LCM(44335,44341) = ( 44335 × 44341) / 1
LCM(44335,44341) = 1965858235 / 1
LCM(44335,44341) = 1965858235

Least Common Multiple (LCM) of 44335 and 44341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44335 and 44341. First we will calculate the prime factors of 44335 and 44341.

Prime Factorization of 44335

Prime Factorization of 44341

Now multiplying the highest exponent prime factors to calculate the LCM of 44335 and 44341.

LCM(44335,44341) = 5¹ × 8867¹ × 11¹ × 29¹ × 139¹
LCM(44335,44341) = 1965858235