What is the Least Common Multiple of 58151 and 58155?
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 58151 and 58155 is 3381771405.
LCM(58151,58155) = 3381771405
Least Common Multiple of 58151 and 58155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58151 and 58155, than apply into the LCM equation.
GCF(58151,58155) = 1
LCM(58151,58155) = ( 58151 × 58155) / 1
LCM(58151,58155) = 3381771405 / 1
LCM(58151,58155) = 3381771405
Least Common Multiple (LCM) of 58151 and 58155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58151 and 58155. First we will calculate the prime factors of 58151 and 58155.
Prime Factorization of 58151
Prime factors of 58151 are 58151. Prime factorization of 58151 in exponential form is:
58151 = 581511
Prime Factorization of 58155
Prime factors of 58155 are 3, 5, 3877. Prime factorization of 58155 in exponential form is:
58155 = 31 × 51 × 38771
Now multiplying the highest exponent prime factors to calculate the LCM of 58151 and 58155.
LCM(58151,58155) = 581511 × 31 × 51 × 38771
LCM(58151,58155) = 3381771405
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