What is the Least Common Multiple of 32574 and 32586?

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 32574 and 32586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32574 and 32586, than apply into the LCM equation.

GCF(32574,32586) = 6
LCM(32574,32586) = ( 32574 × 32586) / 6
LCM(32574,32586) = 1061456364 / 6
LCM(32574,32586) = 176909394

Least Common Multiple (LCM) of 32574 and 32586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32574 and 32586. First we will calculate the prime factors of 32574 and 32586.

Prime Factorization of 32574

Prime Factorization of 32586

Now multiplying the highest exponent prime factors to calculate the LCM of 32574 and 32586.

LCM(32574,32586) = 2¹ × 3¹ × 61¹ × 89¹ × 5431¹
LCM(32574,32586) = 176909394