What is the Least Common Multiple of 27467 and 27486?
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 27467 and 27486 is 754957962.
LCM(27467,27486) = 754957962
Least Common Multiple of 27467 and 27486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27467 and 27486, than apply into the LCM equation.
GCF(27467,27486) = 1
LCM(27467,27486) = ( 27467 × 27486) / 1
LCM(27467,27486) = 754957962 / 1
LCM(27467,27486) = 754957962
Least Common Multiple (LCM) of 27467 and 27486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27467 and 27486. First we will calculate the prime factors of 27467 and 27486.
Prime Factorization of 27467
Prime factors of 27467 are 11, 227. Prime factorization of 27467 in exponential form is:
27467 = 112 × 2271
Prime Factorization of 27486
Prime factors of 27486 are 2, 3, 509. Prime factorization of 27486 in exponential form is:
27486 = 21 × 33 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 27467 and 27486.
LCM(27467,27486) = 112 × 2271 × 21 × 33 × 5091
LCM(27467,27486) = 754957962
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