What is the Least Common Multiple of 56685 and 56704?
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 56685 and 56704 is 3214266240.
LCM(56685,56704) = 3214266240
Least Common Multiple of 56685 and 56704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56685 and 56704, than apply into the LCM equation.
GCF(56685,56704) = 1
LCM(56685,56704) = ( 56685 × 56704) / 1
LCM(56685,56704) = 3214266240 / 1
LCM(56685,56704) = 3214266240
Least Common Multiple (LCM) of 56685 and 56704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56685 and 56704. First we will calculate the prime factors of 56685 and 56704.
Prime Factorization of 56685
Prime factors of 56685 are 3, 5, 3779. Prime factorization of 56685 in exponential form is:
56685 = 31 × 51 × 37791
Prime Factorization of 56704
Prime factors of 56704 are 2, 443. Prime factorization of 56704 in exponential form is:
56704 = 27 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 56685 and 56704.
LCM(56685,56704) = 31 × 51 × 37791 × 27 × 4431
LCM(56685,56704) = 3214266240
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