What is the Least Common Multiple of 56162 and 56181?
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 56162 and 56181 is 3155237322.
LCM(56162,56181) = 3155237322
Least Common Multiple of 56162 and 56181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56162 and 56181, than apply into the LCM equation.
GCF(56162,56181) = 1
LCM(56162,56181) = ( 56162 × 56181) / 1
LCM(56162,56181) = 3155237322 / 1
LCM(56162,56181) = 3155237322
Least Common Multiple (LCM) of 56162 and 56181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56162 and 56181. First we will calculate the prime factors of 56162 and 56181.
Prime Factorization of 56162
Prime factors of 56162 are 2, 28081. Prime factorization of 56162 in exponential form is:
56162 = 21 × 280811
Prime Factorization of 56181
Prime factors of 56181 are 3, 61, 307. Prime factorization of 56181 in exponential form is:
56181 = 31 × 611 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 56162 and 56181.
LCM(56162,56181) = 21 × 280811 × 31 × 611 × 3071
LCM(56162,56181) = 3155237322
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