What is the Least Common Multiple of 44733 and 44753?

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 44733 and 44753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44733 and 44753, than apply into the LCM equation.

GCF(44733,44753) = 1
LCM(44733,44753) = ( 44733 × 44753) / 1
LCM(44733,44753) = 2001935949 / 1
LCM(44733,44753) = 2001935949

Least Common Multiple (LCM) of 44733 and 44753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44733 and 44753. First we will calculate the prime factors of 44733 and 44753.

Prime Factorization of 44733

Prime Factorization of 44753

Now multiplying the highest exponent prime factors to calculate the LCM of 44733 and 44753.

LCM(44733,44753) = 3¹ × 13¹ × 31¹ × 37¹ × 44753¹
LCM(44733,44753) = 2001935949