What is the Least Common Multiple of 32775 and 32794?

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 32794 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 32794, than apply into the LCM equation.

GCF(32775,32794) = 19
LCM(32775,32794) = ( 32775 × 32794) / 19
LCM(32775,32794) = 1074823350 / 19
LCM(32775,32794) = 56569650

Least Common Multiple (LCM) of 32775 and 32794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32775 and 32794. First we will calculate the prime factors of 32775 and 32794.

Prime Factorization of 32775

Prime Factorization of 32794

Now multiplying the highest exponent prime factors to calculate the LCM of 32775 and 32794.

LCM(32775,32794) = 3¹ × 5² × 19¹ × 23¹ × 2¹ × 863¹
LCM(32775,32794) = 56569650