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
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
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