What is the Least Common Multiple of 32592 and 32609?

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 32592 and 32609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32592 and 32609, than apply into the LCM equation.

GCF(32592,32609) = 1
LCM(32592,32609) = ( 32592 × 32609) / 1
LCM(32592,32609) = 1062792528 / 1
LCM(32592,32609) = 1062792528

Least Common Multiple (LCM) of 32592 and 32609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32592 and 32609. First we will calculate the prime factors of 32592 and 32609.

Prime Factorization of 32592

Prime Factorization of 32609

Now multiplying the highest exponent prime factors to calculate the LCM of 32592 and 32609.

LCM(32592,32609) = 2⁴ × 3¹ × 7¹ × 97¹ × 32609¹
LCM(32592,32609) = 1062792528