What is the Least Common Multiple of 61146 and 61162?
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 61146 and 61162 is 1869905826.
LCM(61146,61162) = 1869905826
Least Common Multiple of 61146 and 61162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61146 and 61162, than apply into the LCM equation.
GCF(61146,61162) = 2
LCM(61146,61162) = ( 61146 × 61162) / 2
LCM(61146,61162) = 3739811652 / 2
LCM(61146,61162) = 1869905826
Least Common Multiple (LCM) of 61146 and 61162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61146 and 61162. First we will calculate the prime factors of 61146 and 61162.
Prime Factorization of 61146
Prime factors of 61146 are 2, 3, 43, 79. Prime factorization of 61146 in exponential form is:
61146 = 21 × 32 × 431 × 791
Prime Factorization of 61162
Prime factors of 61162 are 2, 53, 577. Prime factorization of 61162 in exponential form is:
61162 = 21 × 531 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 61146 and 61162.
LCM(61146,61162) = 21 × 32 × 431 × 791 × 531 × 5771
LCM(61146,61162) = 1869905826
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