What is the Least Common Multiple of 56837 and 56851?
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 56837 and 56851 is 3231240287.
LCM(56837,56851) = 3231240287
Least Common Multiple of 56837 and 56851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56837 and 56851, than apply into the LCM equation.
GCF(56837,56851) = 1
LCM(56837,56851) = ( 56837 × 56851) / 1
LCM(56837,56851) = 3231240287 / 1
LCM(56837,56851) = 3231240287
Least Common Multiple (LCM) of 56837 and 56851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56837 and 56851. First we will calculate the prime factors of 56837 and 56851.
Prime Factorization of 56837
Prime factors of 56837 are 11, 5167. Prime factorization of 56837 in exponential form is:
56837 = 111 × 51671
Prime Factorization of 56851
Prime factors of 56851 are 139, 409. Prime factorization of 56851 in exponential form is:
56851 = 1391 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 56837 and 56851.
LCM(56837,56851) = 111 × 51671 × 1391 × 4091
LCM(56837,56851) = 3231240287
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