What is the Least Common Multiple of 44133 and 44147?

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 44133 and 44147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44133 and 44147, than apply into the LCM equation.

GCF(44133,44147) = 1
LCM(44133,44147) = ( 44133 × 44147) / 1
LCM(44133,44147) = 1948339551 / 1
LCM(44133,44147) = 1948339551

Least Common Multiple (LCM) of 44133 and 44147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44133 and 44147. First we will calculate the prime factors of 44133 and 44147.

Prime Factorization of 44133

Prime Factorization of 44147

Now multiplying the highest exponent prime factors to calculate the LCM of 44133 and 44147.

LCM(44133,44147) = 3¹ × 47¹ × 313¹ × 131¹ × 337¹
LCM(44133,44147) = 1948339551