What is the Least Common Multiple of 73200 and 73219?

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 73200 and 73219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73200 and 73219, than apply into the LCM equation.

GCF(73200,73219) = 1
LCM(73200,73219) = ( 73200 × 73219) / 1
LCM(73200,73219) = 5359630800 / 1
LCM(73200,73219) = 5359630800

Least Common Multiple (LCM) of 73200 and 73219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73200 and 73219. First we will calculate the prime factors of 73200 and 73219.

Prime Factorization of 73200

Prime Factorization of 73219

Now multiplying the highest exponent prime factors to calculate the LCM of 73200 and 73219.

LCM(73200,73219) = 2⁴ × 3¹ × 5² × 61¹ × 17¹ × 59¹ × 73¹
LCM(73200,73219) = 5359630800