What is the Least Common Multiple of 32775 and 32792?

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 32775 and 32792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32775 and 32792, than apply into the LCM equation.

GCF(32775,32792) = 1
LCM(32775,32792) = ( 32775 × 32792) / 1
LCM(32775,32792) = 1074757800 / 1
LCM(32775,32792) = 1074757800

Least Common Multiple (LCM) of 32775 and 32792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32775 and 32792. First we will calculate the prime factors of 32775 and 32792.

Prime Factorization of 32775

Prime Factorization of 32792

Now multiplying the highest exponent prime factors to calculate the LCM of 32775 and 32792.

LCM(32775,32792) = 3¹ × 5² × 19¹ × 23¹ × 2³ × 4099¹
LCM(32775,32792) = 1074757800