What is the Least Common Multiple of 32805 and 32823?

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 32805 and 32823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32805 and 32823, than apply into the LCM equation.

GCF(32805,32823) = 9
LCM(32805,32823) = ( 32805 × 32823) / 9
LCM(32805,32823) = 1076758515 / 9
LCM(32805,32823) = 119639835

Least Common Multiple (LCM) of 32805 and 32823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32805 and 32823. First we will calculate the prime factors of 32805 and 32823.

Prime Factorization of 32805

Prime Factorization of 32823

Now multiplying the highest exponent prime factors to calculate the LCM of 32805 and 32823.

LCM(32805,32823) = 3⁸ × 5¹ × 7¹ × 521¹
LCM(32805,32823) = 119639835