What is the Least Common Multiple of 74733 and 74744?

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 74733 and 74744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74733 and 74744, than apply into the LCM equation.

GCF(74733,74744) = 1
LCM(74733,74744) = ( 74733 × 74744) / 1
LCM(74733,74744) = 5585843352 / 1
LCM(74733,74744) = 5585843352

Least Common Multiple (LCM) of 74733 and 74744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74733 and 74744. First we will calculate the prime factors of 74733 and 74744.

Prime Factorization of 74733

Prime Factorization of 74744

Now multiplying the highest exponent prime factors to calculate the LCM of 74733 and 74744.

LCM(74733,74744) = 3¹ × 29¹ × 859¹ × 2³ × 9343¹
LCM(74733,74744) = 5585843352