What is the Least Common Multiple of 56654 and 56674?
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 56654 and 56674 is 1605404398.
LCM(56654,56674) = 1605404398
Least Common Multiple of 56654 and 56674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56654 and 56674, than apply into the LCM equation.
GCF(56654,56674) = 2
LCM(56654,56674) = ( 56654 × 56674) / 2
LCM(56654,56674) = 3210808796 / 2
LCM(56654,56674) = 1605404398
Least Common Multiple (LCM) of 56654 and 56674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56654 and 56674. First we will calculate the prime factors of 56654 and 56674.
Prime Factorization of 56654
Prime factors of 56654 are 2, 13, 2179. Prime factorization of 56654 in exponential form is:
56654 = 21 × 131 × 21791
Prime Factorization of 56674
Prime factors of 56674 are 2, 43, 659. Prime factorization of 56674 in exponential form is:
56674 = 21 × 431 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 56654 and 56674.
LCM(56654,56674) = 21 × 131 × 21791 × 431 × 6591
LCM(56654,56674) = 1605404398
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