What is the Least Common Multiple of 56572 and 56586?
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 56572 and 56586 is 1600591596.
LCM(56572,56586) = 1600591596
Least Common Multiple of 56572 and 56586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56572 and 56586, than apply into the LCM equation.
GCF(56572,56586) = 2
LCM(56572,56586) = ( 56572 × 56586) / 2
LCM(56572,56586) = 3201183192 / 2
LCM(56572,56586) = 1600591596
Least Common Multiple (LCM) of 56572 and 56586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56572 and 56586. First we will calculate the prime factors of 56572 and 56586.
Prime Factorization of 56572
Prime factors of 56572 are 2, 14143. Prime factorization of 56572 in exponential form is:
56572 = 22 × 141431
Prime Factorization of 56586
Prime factors of 56586 are 2, 3, 9431. Prime factorization of 56586 in exponential form is:
56586 = 21 × 31 × 94311
Now multiplying the highest exponent prime factors to calculate the LCM of 56572 and 56586.
LCM(56572,56586) = 22 × 141431 × 31 × 94311
LCM(56572,56586) = 1600591596
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