What is the Least Common Multiple of 83250 and 83270?

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 83270 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 83270, than apply into the LCM equation.

GCF(83250,83270) = 10
LCM(83250,83270) = ( 83250 × 83270) / 10
LCM(83250,83270) = 6932227500 / 10
LCM(83250,83270) = 693222750

Least Common Multiple (LCM) of 83250 and 83270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83250 and 83270. First we will calculate the prime factors of 83250 and 83270.

Prime Factorization of 83250

Prime Factorization of 83270

Now multiplying the highest exponent prime factors to calculate the LCM of 83250 and 83270.

LCM(83250,83270) = 2¹ × 3² × 5³ × 37¹ × 11¹ × 757¹
LCM(83250,83270) = 693222750