What is the Least Common Multiple of 52776 and 52782?

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 52776 and 52782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52776 and 52782, than apply into the LCM equation.

GCF(52776,52782) = 6
LCM(52776,52782) = ( 52776 × 52782) / 6
LCM(52776,52782) = 2785622832 / 6
LCM(52776,52782) = 464270472

Least Common Multiple (LCM) of 52776 and 52782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52776 and 52782. First we will calculate the prime factors of 52776 and 52782.

Prime Factorization of 52776

Prime Factorization of 52782

Now multiplying the highest exponent prime factors to calculate the LCM of 52776 and 52782.

LCM(52776,52782) = 2³ × 3² × 733¹ × 19¹ × 463¹
LCM(52776,52782) = 464270472