What is the Least Common Multiple of 35813 and 35833?
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 35813 and 35833 is 1283287229.
LCM(35813,35833) = 1283287229
Least Common Multiple of 35813 and 35833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35813 and 35833, than apply into the LCM equation.
GCF(35813,35833) = 1
LCM(35813,35833) = ( 35813 × 35833) / 1
LCM(35813,35833) = 1283287229 / 1
LCM(35813,35833) = 1283287229
Least Common Multiple (LCM) of 35813 and 35833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 35813 and 35833. First we will calculate the prime factors of 35813 and 35833.
Prime Factorization of 35813
Prime factors of 35813 are 59, 607. Prime factorization of 35813 in exponential form is:
35813 = 591 × 6071
Prime Factorization of 35833
Prime factors of 35833 are 7, 5119. Prime factorization of 35833 in exponential form is:
35833 = 71 × 51191
Now multiplying the highest exponent prime factors to calculate the LCM of 35813 and 35833.
LCM(35813,35833) = 591 × 6071 × 71 × 51191
LCM(35813,35833) = 1283287229
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