What is the Least Common Multiple of 56155 and 56162?
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 56155 and 56162 is 3153777110.
LCM(56155,56162) = 3153777110
Least Common Multiple of 56155 and 56162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56155 and 56162, than apply into the LCM equation.
GCF(56155,56162) = 1
LCM(56155,56162) = ( 56155 × 56162) / 1
LCM(56155,56162) = 3153777110 / 1
LCM(56155,56162) = 3153777110
Least Common Multiple (LCM) of 56155 and 56162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56155 and 56162. First we will calculate the prime factors of 56155 and 56162.
Prime Factorization of 56155
Prime factors of 56155 are 5, 11, 1021. Prime factorization of 56155 in exponential form is:
56155 = 51 × 111 × 10211
Prime Factorization of 56162
Prime factors of 56162 are 2, 28081. Prime factorization of 56162 in exponential form is:
56162 = 21 × 280811
Now multiplying the highest exponent prime factors to calculate the LCM of 56155 and 56162.
LCM(56155,56162) = 51 × 111 × 10211 × 21 × 280811
LCM(56155,56162) = 3153777110
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