What is the Least Common Multiple of 32245 and 32255?

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 32245 and 32255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32245 and 32255, than apply into the LCM equation.

GCF(32245,32255) = 5
LCM(32245,32255) = ( 32245 × 32255) / 5
LCM(32245,32255) = 1040062475 / 5
LCM(32245,32255) = 208012495

Least Common Multiple (LCM) of 32245 and 32255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32245 and 32255. First we will calculate the prime factors of 32245 and 32255.

Prime Factorization of 32245

Prime Factorization of 32255

Now multiplying the highest exponent prime factors to calculate the LCM of 32245 and 32255.

LCM(32245,32255) = 5¹ × 6449¹ × 6451¹
LCM(32245,32255) = 208012495