What is the Least Common Multiple of 74714 and 74733?

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 74714 and 74733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74714 and 74733, than apply into the LCM equation.

GCF(74714,74733) = 1
LCM(74714,74733) = ( 74714 × 74733) / 1
LCM(74714,74733) = 5583601362 / 1
LCM(74714,74733) = 5583601362

Least Common Multiple (LCM) of 74714 and 74733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74714 and 74733. First we will calculate the prime factors of 74714 and 74733.

Prime Factorization of 74714

Prime Factorization of 74733

Now multiplying the highest exponent prime factors to calculate the LCM of 74714 and 74733.

LCM(74714,74733) = 2¹ × 37357¹ × 3¹ × 29¹ × 859¹
LCM(74714,74733) = 5583601362