What is the Least Common Multiple of 56859 and 56867?
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 56859 and 56867 is 3233400753.
LCM(56859,56867) = 3233400753
Least Common Multiple of 56859 and 56867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56859 and 56867, than apply into the LCM equation.
GCF(56859,56867) = 1
LCM(56859,56867) = ( 56859 × 56867) / 1
LCM(56859,56867) = 3233400753 / 1
LCM(56859,56867) = 3233400753
Least Common Multiple (LCM) of 56859 and 56867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56859 and 56867. First we will calculate the prime factors of 56859 and 56867.
Prime Factorization of 56859
Prime factors of 56859 are 3, 11, 1723. Prime factorization of 56859 in exponential form is:
56859 = 31 × 111 × 17231
Prime Factorization of 56867
Prime factors of 56867 are 19, 41, 73. Prime factorization of 56867 in exponential form is:
56867 = 191 × 411 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 56859 and 56867.
LCM(56859,56867) = 31 × 111 × 17231 × 191 × 411 × 731
LCM(56859,56867) = 3233400753
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