What is the Least Common Multiple of 6291 and 6302?
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 6291 and 6302 is 39645882.
LCM(6291,6302) = 39645882
Least Common Multiple of 6291 and 6302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6291 and 6302, than apply into the LCM equation.
GCF(6291,6302) = 1
LCM(6291,6302) = ( 6291 × 6302) / 1
LCM(6291,6302) = 39645882 / 1
LCM(6291,6302) = 39645882
Least Common Multiple (LCM) of 6291 and 6302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6291 and 6302. First we will calculate the prime factors of 6291 and 6302.
Prime Factorization of 6291
Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:
6291 = 33 × 2331
Prime Factorization of 6302
Prime factors of 6302 are 2, 23, 137. Prime factorization of 6302 in exponential form is:
6302 = 21 × 231 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 6291 and 6302.
LCM(6291,6302) = 33 × 2331 × 21 × 231 × 1371
LCM(6291,6302) = 39645882
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