What is the Least Common Multiple of 7734 and 7750?

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 7734 and 7750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7734 and 7750, than apply into the LCM equation.

GCF(7734,7750) = 2
LCM(7734,7750) = ( 7734 × 7750) / 2
LCM(7734,7750) = 59938500 / 2
LCM(7734,7750) = 29969250

Least Common Multiple (LCM) of 7734 and 7750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7734 and 7750. First we will calculate the prime factors of 7734 and 7750.

Prime Factorization of 7734

Prime Factorization of 7750

Now multiplying the highest exponent prime factors to calculate the LCM of 7734 and 7750.

LCM(7734,7750) = 2¹ × 3¹ × 1289¹ × 5³ × 31¹
LCM(7734,7750) = 29969250