What is the Least Common Multiple of 52761 and 52776?

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 52761 and 52776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52761 and 52776, than apply into the LCM equation.

GCF(52761,52776) = 3
LCM(52761,52776) = ( 52761 × 52776) / 3
LCM(52761,52776) = 2784514536 / 3
LCM(52761,52776) = 928171512

Least Common Multiple (LCM) of 52761 and 52776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52761 and 52776. First we will calculate the prime factors of 52761 and 52776.

Prime Factorization of 52761

Prime Factorization of 52776

Now multiplying the highest exponent prime factors to calculate the LCM of 52761 and 52776.

LCM(52761,52776) = 3² × 43¹ × 409¹ × 2³ × 733¹
LCM(52761,52776) = 928171512