What is the Least Common Multiple of 27411 and 27431?
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 27411 and 27431 is 751911141.
LCM(27411,27431) = 751911141
Least Common Multiple of 27411 and 27431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27411 and 27431, than apply into the LCM equation.
GCF(27411,27431) = 1
LCM(27411,27431) = ( 27411 × 27431) / 1
LCM(27411,27431) = 751911141 / 1
LCM(27411,27431) = 751911141
Least Common Multiple (LCM) of 27411 and 27431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27411 and 27431. First we will calculate the prime factors of 27411 and 27431.
Prime Factorization of 27411
Prime factors of 27411 are 3, 9137. Prime factorization of 27411 in exponential form is:
27411 = 31 × 91371
Prime Factorization of 27431
Prime factors of 27431 are 27431. Prime factorization of 27431 in exponential form is:
27431 = 274311
Now multiplying the highest exponent prime factors to calculate the LCM of 27411 and 27431.
LCM(27411,27431) = 31 × 91371 × 274311
LCM(27411,27431) = 751911141
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