What is the Least Common Multiple of 44923 and 44934?

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 44923 and 44934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44923 and 44934, than apply into the LCM equation.

GCF(44923,44934) = 1
LCM(44923,44934) = ( 44923 × 44934) / 1
LCM(44923,44934) = 2018570082 / 1
LCM(44923,44934) = 2018570082

Least Common Multiple (LCM) of 44923 and 44934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44923 and 44934. First we will calculate the prime factors of 44923 and 44934.

Prime Factorization of 44923

Prime Factorization of 44934

Now multiplying the highest exponent prime factors to calculate the LCM of 44923 and 44934.

LCM(44923,44934) = 167¹ × 269¹ × 2¹ × 3¹ × 7489¹
LCM(44923,44934) = 2018570082