What is the Least Common Multiple of 74750 and 74762?

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 74750 and 74762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74750 and 74762, than apply into the LCM equation.

GCF(74750,74762) = 2
LCM(74750,74762) = ( 74750 × 74762) / 2
LCM(74750,74762) = 5588459500 / 2
LCM(74750,74762) = 2794229750

Least Common Multiple (LCM) of 74750 and 74762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74750 and 74762. First we will calculate the prime factors of 74750 and 74762.

Prime Factorization of 74750

Prime Factorization of 74762

Now multiplying the highest exponent prime factors to calculate the LCM of 74750 and 74762.

LCM(74750,74762) = 2¹ × 5³ × 13¹ × 23¹ × 29¹ × 1289¹
LCM(74750,74762) = 2794229750