What is the Least Common Multiple of 7744 and 7762?

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 7744 and 7762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7744 and 7762, than apply into the LCM equation.

GCF(7744,7762) = 2
LCM(7744,7762) = ( 7744 × 7762) / 2
LCM(7744,7762) = 60108928 / 2
LCM(7744,7762) = 30054464

Least Common Multiple (LCM) of 7744 and 7762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7744 and 7762. First we will calculate the prime factors of 7744 and 7762.

Prime Factorization of 7744

Prime Factorization of 7762

Now multiplying the highest exponent prime factors to calculate the LCM of 7744 and 7762.

LCM(7744,7762) = 2⁶ × 11² × 3881¹
LCM(7744,7762) = 30054464