What is the Least Common Multiple of 32550 and 32562?

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 32550 and 32562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32550 and 32562, than apply into the LCM equation.

GCF(32550,32562) = 6
LCM(32550,32562) = ( 32550 × 32562) / 6
LCM(32550,32562) = 1059893100 / 6
LCM(32550,32562) = 176648850

Least Common Multiple (LCM) of 32550 and 32562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32550 and 32562. First we will calculate the prime factors of 32550 and 32562.

Prime Factorization of 32550

Prime Factorization of 32562

Now multiplying the highest exponent prime factors to calculate the LCM of 32550 and 32562.

LCM(32550,32562) = 2¹ × 3⁵ × 5² × 7¹ × 31¹ × 67¹
LCM(32550,32562) = 176648850