What is the Least Common Multiple of 56647 and 56659?
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 56647 and 56659 is 3209562373.
LCM(56647,56659) = 3209562373
Least Common Multiple of 56647 and 56659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56647 and 56659, than apply into the LCM equation.
GCF(56647,56659) = 1
LCM(56647,56659) = ( 56647 × 56659) / 1
LCM(56647,56659) = 3209562373 / 1
LCM(56647,56659) = 3209562373
Least Common Multiple (LCM) of 56647 and 56659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56647 and 56659. First we will calculate the prime factors of 56647 and 56659.
Prime Factorization of 56647
Prime factors of 56647 are 37, 1531. Prime factorization of 56647 in exponential form is:
56647 = 371 × 15311
Prime Factorization of 56659
Prime factors of 56659 are 56659. Prime factorization of 56659 in exponential form is:
56659 = 566591
Now multiplying the highest exponent prime factors to calculate the LCM of 56647 and 56659.
LCM(56647,56659) = 371 × 15311 × 566591
LCM(56647,56659) = 3209562373
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