What is the Least Common Multiple of 32658 and 32674?

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 32658 and 32674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32658 and 32674, than apply into the LCM equation.

GCF(32658,32674) = 2
LCM(32658,32674) = ( 32658 × 32674) / 2
LCM(32658,32674) = 1067067492 / 2
LCM(32658,32674) = 533533746

Least Common Multiple (LCM) of 32658 and 32674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32658 and 32674. First we will calculate the prime factors of 32658 and 32674.

Prime Factorization of 32658

Prime Factorization of 32674

Now multiplying the highest exponent prime factors to calculate the LCM of 32658 and 32674.

LCM(32658,32674) = 2¹ × 3¹ × 5443¹ × 17¹ × 31²
LCM(32658,32674) = 533533746