What is the Least Common Multiple of 32496 and 32505?

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 32496 and 32505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32496 and 32505, than apply into the LCM equation.

GCF(32496,32505) = 3
LCM(32496,32505) = ( 32496 × 32505) / 3
LCM(32496,32505) = 1056282480 / 3
LCM(32496,32505) = 352094160

Least Common Multiple (LCM) of 32496 and 32505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32496 and 32505. First we will calculate the prime factors of 32496 and 32505.

Prime Factorization of 32496

Prime Factorization of 32505

Now multiplying the highest exponent prime factors to calculate the LCM of 32496 and 32505.

LCM(32496,32505) = 2⁴ × 3¹ × 677¹ × 5¹ × 11¹ × 197¹
LCM(32496,32505) = 352094160