What is the Least Common Multiple of 53766 and 53782?

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 53766 and 53782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53766 and 53782, than apply into the LCM equation.

GCF(53766,53782) = 2
LCM(53766,53782) = ( 53766 × 53782) / 2
LCM(53766,53782) = 2891643012 / 2
LCM(53766,53782) = 1445821506

Least Common Multiple (LCM) of 53766 and 53782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53766 and 53782. First we will calculate the prime factors of 53766 and 53782.

Prime Factorization of 53766

Prime Factorization of 53782

Now multiplying the highest exponent prime factors to calculate the LCM of 53766 and 53782.

LCM(53766,53782) = 2¹ × 3² × 29¹ × 103¹ × 26891¹
LCM(53766,53782) = 1445821506