What is the Least Common Multiple of 32475 and 32489?

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 32475 and 32489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32475 and 32489, than apply into the LCM equation.

GCF(32475,32489) = 1
LCM(32475,32489) = ( 32475 × 32489) / 1
LCM(32475,32489) = 1055080275 / 1
LCM(32475,32489) = 1055080275

Least Common Multiple (LCM) of 32475 and 32489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32475 and 32489. First we will calculate the prime factors of 32475 and 32489.

Prime Factorization of 32475

Prime Factorization of 32489

Now multiplying the highest exponent prime factors to calculate the LCM of 32475 and 32489.

LCM(32475,32489) = 3¹ × 5² × 433¹ × 53¹ × 613¹
LCM(32475,32489) = 1055080275