What is the Least Common Multiple of 77833 and 77851?
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 77833 and 77851 is 6059376883.
LCM(77833,77851) = 6059376883
Least Common Multiple of 77833 and 77851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77833 and 77851, than apply into the LCM equation.
GCF(77833,77851) = 1
LCM(77833,77851) = ( 77833 × 77851) / 1
LCM(77833,77851) = 6059376883 / 1
LCM(77833,77851) = 6059376883
Least Common Multiple (LCM) of 77833 and 77851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77833 and 77851. First we will calculate the prime factors of 77833 and 77851.
Prime Factorization of 77833
Prime factors of 77833 are 7, 11119. Prime factorization of 77833 in exponential form is:
77833 = 71 × 111191
Prime Factorization of 77851
Prime factors of 77851 are 127, 613. Prime factorization of 77851 in exponential form is:
77851 = 1271 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 77833 and 77851.
LCM(77833,77851) = 71 × 111191 × 1271 × 6131
LCM(77833,77851) = 6059376883
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