What is the Least Common Multiple of 74709 and 74723?

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 74709 and 74723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74709 and 74723, than apply into the LCM equation.

GCF(74709,74723) = 1
LCM(74709,74723) = ( 74709 × 74723) / 1
LCM(74709,74723) = 5582480607 / 1
LCM(74709,74723) = 5582480607

Least Common Multiple (LCM) of 74709 and 74723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74709 and 74723. First we will calculate the prime factors of 74709 and 74723.

Prime Factorization of 74709

Prime Factorization of 74723

Now multiplying the highest exponent prime factors to calculate the LCM of 74709 and 74723.

LCM(74709,74723) = 3³ × 2767¹ × 11¹ × 6793¹
LCM(74709,74723) = 5582480607