What is the Least Common Multiple of 60176 and 60188?

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 60176 and 60188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60176 and 60188, than apply into the LCM equation.

GCF(60176,60188) = 4
LCM(60176,60188) = ( 60176 × 60188) / 4
LCM(60176,60188) = 3621873088 / 4
LCM(60176,60188) = 905468272

Least Common Multiple (LCM) of 60176 and 60188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60176 and 60188. First we will calculate the prime factors of 60176 and 60188.

Prime Factorization of 60176

Prime Factorization of 60188

Now multiplying the highest exponent prime factors to calculate the LCM of 60176 and 60188.

LCM(60176,60188) = 2⁴ × 3761¹ × 41¹ × 367¹
LCM(60176,60188) = 905468272