What is the Least Common Multiple of 6290 and 6301?
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 6290 and 6301 is 39633290.
LCM(6290,6301) = 39633290
Least Common Multiple of 6290 and 6301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6290 and 6301, than apply into the LCM equation.
GCF(6290,6301) = 1
LCM(6290,6301) = ( 6290 × 6301) / 1
LCM(6290,6301) = 39633290 / 1
LCM(6290,6301) = 39633290
Least Common Multiple (LCM) of 6290 and 6301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6290 and 6301. First we will calculate the prime factors of 6290 and 6301.
Prime Factorization of 6290
Prime factors of 6290 are 2, 5, 17, 37. Prime factorization of 6290 in exponential form is:
6290 = 21 × 51 × 171 × 371
Prime Factorization of 6301
Prime factors of 6301 are 6301. Prime factorization of 6301 in exponential form is:
6301 = 63011
Now multiplying the highest exponent prime factors to calculate the LCM of 6290 and 6301.
LCM(6290,6301) = 21 × 51 × 171 × 371 × 63011
LCM(6290,6301) = 39633290
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