What is the Least Common Multiple of 64744 and 64762?

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 64744 and 64762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64744 and 64762, than apply into the LCM equation.

GCF(64744,64762) = 2
LCM(64744,64762) = ( 64744 × 64762) / 2
LCM(64744,64762) = 4192950928 / 2
LCM(64744,64762) = 2096475464

Least Common Multiple (LCM) of 64744 and 64762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64744 and 64762. First we will calculate the prime factors of 64744 and 64762.

Prime Factorization of 64744

Prime Factorization of 64762

Now multiplying the highest exponent prime factors to calculate the LCM of 64744 and 64762.

LCM(64744,64762) = 2³ × 8093¹ × 32381¹
LCM(64744,64762) = 2096475464