What is the Least Common Multiple of 56579 and 56597?
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 56579 and 56597 is 3202201663.
LCM(56579,56597) = 3202201663
Least Common Multiple of 56579 and 56597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56579 and 56597, than apply into the LCM equation.
GCF(56579,56597) = 1
LCM(56579,56597) = ( 56579 × 56597) / 1
LCM(56579,56597) = 3202201663 / 1
LCM(56579,56597) = 3202201663
Least Common Multiple (LCM) of 56579 and 56597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56579 and 56597. First we will calculate the prime factors of 56579 and 56597.
Prime Factorization of 56579
Prime factors of 56579 are 29, 1951. Prime factorization of 56579 in exponential form is:
56579 = 291 × 19511
Prime Factorization of 56597
Prime factors of 56597 are 56597. Prime factorization of 56597 in exponential form is:
56597 = 565971
Now multiplying the highest exponent prime factors to calculate the LCM of 56579 and 56597.
LCM(56579,56597) = 291 × 19511 × 565971
LCM(56579,56597) = 3202201663
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