What is the Least Common Multiple of 32489 and 32509?

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 32489 and 32509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32489 and 32509, than apply into the LCM equation.

GCF(32489,32509) = 1
LCM(32489,32509) = ( 32489 × 32509) / 1
LCM(32489,32509) = 1056184901 / 1
LCM(32489,32509) = 1056184901

Least Common Multiple (LCM) of 32489 and 32509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32489 and 32509. First we will calculate the prime factors of 32489 and 32509.

Prime Factorization of 32489

Prime Factorization of 32509

Now multiplying the highest exponent prime factors to calculate the LCM of 32489 and 32509.

LCM(32489,32509) = 53¹ × 613¹ × 19¹ × 29¹ × 59¹
LCM(32489,32509) = 1056184901