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What is the Least Common Multiple of 60136 and 60155?

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 60136 and 60155 is 3617481080.

LCM(60136,60155) = 3617481080

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Least Common Multiple of 60136 and 60155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60136 and 60155, than apply into the LCM equation.

GCF(60136,60155) = 1
LCM(60136,60155) = ( 60136 × 60155) / 1
LCM(60136,60155) = 3617481080 / 1
LCM(60136,60155) = 3617481080

Least Common Multiple (LCM) of 60136 and 60155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60136 and 60155. First we will calculate the prime factors of 60136 and 60155.

Prime Factorization of 60136

Prime factors of 60136 are 2, 7517. Prime factorization of 60136 in exponential form is:

60136 = 23 × 75171

Prime Factorization of 60155

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

60155 = 51 × 531 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 60136 and 60155.

LCM(60136,60155) = 23 × 75171 × 51 × 531 × 2271
LCM(60136,60155) = 3617481080