What is the Least Common Multiple of 32200 and 32219?

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 32200 and 32219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32200 and 32219, than apply into the LCM equation.

GCF(32200,32219) = 1
LCM(32200,32219) = ( 32200 × 32219) / 1
LCM(32200,32219) = 1037451800 / 1
LCM(32200,32219) = 1037451800

Least Common Multiple (LCM) of 32200 and 32219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32200 and 32219. First we will calculate the prime factors of 32200 and 32219.

Prime Factorization of 32200

Prime Factorization of 32219

Now multiplying the highest exponent prime factors to calculate the LCM of 32200 and 32219.

LCM(32200,32219) = 2³ × 5² × 7¹ × 23¹ × 11¹ × 29¹ × 101¹
LCM(32200,32219) = 1037451800