What is the Least Common Multiple of 56685 and 56700?
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 56700 is 214269300.
LCM(56685,56700) = 214269300
Least Common Multiple of 56685 and 56700 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 56700, than apply into the LCM equation.
GCF(56685,56700) = 15
LCM(56685,56700) = ( 56685 × 56700) / 15
LCM(56685,56700) = 3214039500 / 15
LCM(56685,56700) = 214269300
Least Common Multiple (LCM) of 56685 and 56700 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56685 and 56700. First we will calculate the prime factors of 56685 and 56700.
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 56700
Prime factors of 56700 are 2, 3, 5, 7. Prime factorization of 56700 in exponential form is:
56700 = 22 × 34 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 56685 and 56700.
LCM(56685,56700) = 34 × 52 × 37791 × 22 × 71
LCM(56685,56700) = 214269300
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