What is the Least Common Multiple of 83250 and 83255?

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 83250 and 83255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83250 and 83255, than apply into the LCM equation.

GCF(83250,83255) = 5
LCM(83250,83255) = ( 83250 × 83255) / 5
LCM(83250,83255) = 6930978750 / 5
LCM(83250,83255) = 1386195750

Least Common Multiple (LCM) of 83250 and 83255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83250 and 83255. First we will calculate the prime factors of 83250 and 83255.

Prime Factorization of 83250

Prime Factorization of 83255

Now multiplying the highest exponent prime factors to calculate the LCM of 83250 and 83255.

LCM(83250,83255) = 2¹ × 3² × 5³ × 37¹ × 16651¹
LCM(83250,83255) = 1386195750