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What is the Least Common Multiple of 60155 and 60168?

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 (LCM) of 60155 and 60168 is 3619406040.

LCM(60155,60168) = 3619406040

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Least Common Multiple of 60155 and 60168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60155 and 60168, than apply into the LCM equation.

GCF(60155,60168) = 1
LCM(60155,60168) = ( 60155 × 60168) / 1
LCM(60155,60168) = 3619406040 / 1
LCM(60155,60168) = 3619406040

Least Common Multiple (LCM) of 60155 and 60168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60155 and 60168. First we will calculate the prime factors of 60155 and 60168.

Prime Factorization of 60155

Prime factors of 60155 are 5, 53, 227. Prime factorization of 60155 in exponential form is:

60155 = 51 × 531 × 2271

Prime Factorization of 60168

Prime factors of 60168 are 2, 3, 23, 109. Prime factorization of 60168 in exponential form is:

60168 = 23 × 31 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 60155 and 60168.

LCM(60155,60168) = 51 × 531 × 2271 × 23 × 31 × 231 × 1091
LCM(60155,60168) = 3619406040