What is the Least Common Multiple of 6186 and 6190?
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 6186 and 6190 is 19145670.
LCM(6186,6190) = 19145670
Least Common Multiple of 6186 and 6190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6186 and 6190, than apply into the LCM equation.
GCF(6186,6190) = 2
LCM(6186,6190) = ( 6186 × 6190) / 2
LCM(6186,6190) = 38291340 / 2
LCM(6186,6190) = 19145670
Least Common Multiple (LCM) of 6186 and 6190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6186 and 6190. First we will calculate the prime factors of 6186 and 6190.
Prime Factorization of 6186
Prime factors of 6186 are 2, 3, 1031. Prime factorization of 6186 in exponential form is:
6186 = 21 × 31 × 10311
Prime Factorization of 6190
Prime factors of 6190 are 2, 5, 619. Prime factorization of 6190 in exponential form is:
6190 = 21 × 51 × 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 6186 and 6190.
LCM(6186,6190) = 21 × 31 × 10311 × 51 × 6191
LCM(6186,6190) = 19145670
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