What is the Least Common Multiple of 58200 and 58219?

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 58200 and 58219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58200 and 58219, than apply into the LCM equation.

GCF(58200,58219) = 1
LCM(58200,58219) = ( 58200 × 58219) / 1
LCM(58200,58219) = 3388345800 / 1
LCM(58200,58219) = 3388345800

Least Common Multiple (LCM) of 58200 and 58219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58200 and 58219. First we will calculate the prime factors of 58200 and 58219.

Prime Factorization of 58200

Prime Factorization of 58219

Now multiplying the highest exponent prime factors to calculate the LCM of 58200 and 58219.

LCM(58200,58219) = 2³ × 3¹ × 5² × 97¹ × 7¹ × 8317¹
LCM(58200,58219) = 3388345800