What is the Least Common Multiple of 32546 and 32565?

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 32546 and 32565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32546 and 32565, than apply into the LCM equation.

GCF(32546,32565) = 1
LCM(32546,32565) = ( 32546 × 32565) / 1
LCM(32546,32565) = 1059860490 / 1
LCM(32546,32565) = 1059860490

Least Common Multiple (LCM) of 32546 and 32565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32546 and 32565. First we will calculate the prime factors of 32546 and 32565.

Prime Factorization of 32546

Prime Factorization of 32565

Now multiplying the highest exponent prime factors to calculate the LCM of 32546 and 32565.

LCM(32546,32565) = 2¹ × 16273¹ × 3¹ × 5¹ × 13¹ × 167¹
LCM(32546,32565) = 1059860490