What is the Least Common Multiple of 60204 and 60218?

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 60204 and 60218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60204 and 60218, than apply into the LCM equation.

GCF(60204,60218) = 2
LCM(60204,60218) = ( 60204 × 60218) / 2
LCM(60204,60218) = 3625364472 / 2
LCM(60204,60218) = 1812682236

Least Common Multiple (LCM) of 60204 and 60218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60204 and 60218. First we will calculate the prime factors of 60204 and 60218.

Prime Factorization of 60204

Prime Factorization of 60218

Now multiplying the highest exponent prime factors to calculate the LCM of 60204 and 60218.

LCM(60204,60218) = 2² × 3¹ × 29¹ × 173¹ × 30109¹
LCM(60204,60218) = 1812682236