What is the Least Common Multiple of 74742 and 74750?

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 74742 and 74750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74742 and 74750, than apply into the LCM equation.

GCF(74742,74750) = 2
LCM(74742,74750) = ( 74742 × 74750) / 2
LCM(74742,74750) = 5586964500 / 2
LCM(74742,74750) = 2793482250

Least Common Multiple (LCM) of 74742 and 74750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74742 and 74750. First we will calculate the prime factors of 74742 and 74750.

Prime Factorization of 74742

Prime Factorization of 74750

Now multiplying the highest exponent prime factors to calculate the LCM of 74742 and 74750.

LCM(74742,74750) = 2¹ × 3¹ × 12457¹ × 5³ × 13¹ × 23¹
LCM(74742,74750) = 2793482250