What is the Least Common Multiple of 56795 and 56807?
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 56795 and 56807 is 3226353565.
LCM(56795,56807) = 3226353565
Least Common Multiple of 56795 and 56807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56795 and 56807, than apply into the LCM equation.
GCF(56795,56807) = 1
LCM(56795,56807) = ( 56795 × 56807) / 1
LCM(56795,56807) = 3226353565 / 1
LCM(56795,56807) = 3226353565
Least Common Multiple (LCM) of 56795 and 56807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56795 and 56807. First we will calculate the prime factors of 56795 and 56807.
Prime Factorization of 56795
Prime factors of 56795 are 5, 37, 307. Prime factorization of 56795 in exponential form is:
56795 = 51 × 371 × 3071
Prime Factorization of 56807
Prime factors of 56807 are 56807. Prime factorization of 56807 in exponential form is:
56807 = 568071
Now multiplying the highest exponent prime factors to calculate the LCM of 56795 and 56807.
LCM(56795,56807) = 51 × 371 × 3071 × 568071
LCM(56795,56807) = 3226353565
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