What is the Least Common Multiple of 60208 and 60219?

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 60208 and 60219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60208 and 60219, than apply into the LCM equation.

GCF(60208,60219) = 1
LCM(60208,60219) = ( 60208 × 60219) / 1
LCM(60208,60219) = 3625665552 / 1
LCM(60208,60219) = 3625665552

Least Common Multiple (LCM) of 60208 and 60219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60208 and 60219. First we will calculate the prime factors of 60208 and 60219.

Prime Factorization of 60208

Prime Factorization of 60219

Now multiplying the highest exponent prime factors to calculate the LCM of 60208 and 60219.

LCM(60208,60219) = 2⁴ × 53¹ × 71¹ × 3² × 6691¹
LCM(60208,60219) = 3625665552